111 (number)
From Wikipedia, the free encyclopedia
| 111 | |
|---|---|
| Cardinal | one hundred [and] eleven |
| Ordinal | 111th (one hundred [and] eleventh) |
| Numeral system | 111 |
| Factorization |  |
| Divisors | 1, 3, 37, 111 |
| Roman numeral | CXI |
| Binary | 1101111 |
| Octal | 157 |
| Duodecimal | 93 |
| Hexadecimal | 6F |
111 (One hundred (and) eleven) is the natural number following 110 and preceding 112. It is the lowest positive integer requiring six syllables to name in American English, or seven syllables (including "and") in British English. Occasionally it is referred to as "eleventy-one".
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[edit] In mathematics
111 is a perfect totient number.
111 is R3 or the second repunit, a number like 11, 111, or 1111 that consists of repeated units, or 1's. It equals 3 × 37, therefore all triplets (numbers like 222 or 777) in base ten are of the form 3n × 37.
All triplets in all bases are multiples of 111 in that base, therefore the number represented by 111 in a particular base is the only triplet that can ever be prime. 111 is not prime in base ten, but is prime in base two, where 1112 = 710. It is also prime in these other bases up to 100: 3, 5, 6, 8, 12, 14, 15, 17, 20, 21, 24, 27, 33, 38, 41, 50, 54, 57, 59, 62, 66, 69, 71, 75, 77, 78, 80, 89, 90, and 99. 111 is also prime in base 111 (= 1243310).
The smallest magic square using only 1 and prime numbers has a magic constant of 111:
| 31 | 73 | 7 |
| 13 | 37 | 61 |
| 67 | 1 | 43 |
A six-by-six magic square using the numbers 1 through 36 also has a magic constant of 111:
| 24 | 16 | 33 | 23 | 10 | 5 |
| 11 | 15 | 28 | 8 | 13 | 36 |
| 20 | 14 | 2 | 31 | 25 | 19 |
| 1 | 18 | 6 | 29 | 27 | 30 |
| 21 | 22 | 7 | 17 | 32 | 12 |
| 34 | 26 | 35 | 3 | 4 | 9 |
(The square has this magic constant because 1 + 2 + 3 + ... + 34 + 35 + 36 = 666, and 666 / 6 = 111).
111 is also the magic constant of the n-Queens Problem for n = 6. It is also an enneagonal number.
In base 10, it is a Harshad number and a Zuckerman number.
[edit] Nelson
The number 111 is sometimes called "a Nelson" or "Nelson's" (particularly as a score in cricket or darts) after Admiral Nelson, who allegedly only had "One Eye, One Arm, One Ball" near the end of his life. (This is sometimes bowdlerized to say that he lost "One Eye, One Arm, One Life" during his naval career.) Another suggestion is that the number is derived from his three great victories, thus Copenhagen, Nile and Trafalgar which gives the sequence "Won - Won - Won".[citation needed]
A score of 111 or multiples thereof (called "double nelson", "triple nelson" etc.) is considered an ill omen in cricket, because the figures "111" resemble a wicket without bails. Some people, most notably David Shepherd, practiced superstitions around nelsons.
When any aussie rules scores are G.B = 111 points, and the radio call is on 3AW, the game call team read the score in extravegent voices, led by Rex Hunt, followed by; "LORD NELSON!"
[edit] In aircraft
- The British Aircraft Corporation BAC One-Eleven, also known as the BAC-111 was a British short-range jet airliner of the 1960s and 1970s.
- General Dynamics/Grumman EF-111A Raven was an electronic warfare aircraft in the United States Air Force.
- General Dynamics F-111 ("F-One Eleven”) fighter-bomber
- VF-111 Sundowners was a United States Navy fighter squadron established in 1942 as VF-11 and disestablished in 1995
- Marine Fighting Squadron 111 (VMF-111) was a reserve fighter squadron in the United States Marines Corps
- Swissair Flight 111 (SR-111, SWR-111) was a Swissair McDonnell Douglas MD-11 scheduled flight from Kennedy Airport to Geneva, Switzerland, which crashed into the Atlantic Ocean on September 2, 1998
[edit] In music
- Opus 111 by Beethoven, often called "the one-eleven", is the composer's final piano sonata
- RIOT 111 was a New Zealand political punk band in the early 1980s
- “111” is the third album by Željko Joksimović, released in 2002
- 111 Centoundici was Tiziano Ferro's second album, released in 2003.
[edit] In television
- The CBS TV series “Whirlybirds” ran from 1957 to 1960 for 111 episodes
- The NBC TV series “Highway to Heaven” ran from 1984 to 1989 for 111 episodes
- The NBC TV series “Miami Vice” ran from 1984 to 1990 for 111 episodes
[edit] In sports
- The 111th Kentucky Derby won by Spend A Buck on May 4, 1985
- The 111th Boston Marathon won by Robert Kipkoech Cheruiyot on April 16, 2007
[edit] In literature
- Sonnet 111 by William Shakespeare
- 111 is the number of children attributed by "the washers at the ford," to Anna Livia Plurabella (the feminine principle) in James Joyce's Finnegans Wake.
- In J.R.R. Tolkien's The Lord of the Rings Bilbo Baggins disappears from his 111st birthday party (his eleventy-first) and from the Shire, leaving the One Ring to his nephew Frodo.
[edit] In other fields
111 is also:
- The year AD 111 or 111 BC
- 111 AH is a year in the Islamic calendar that corresponds to 729 – 730 CE
- OGLE-TR-111 is a distant yellow or orange dwarf star about 5000-light-years away in the constellation Carina
- 111 Ate is a carbonaceous main belt asteroid
- The Coma star cluster in Coma Berenices, designated Melotte 111 after its entry in the catalogue of deep sky objects by P. J. Melotte
- The atomic number of the element roentgenium (Rg)
- The chemical compound 1,1,1-Trichloroethane is a chlorinated hydrocarbon that was used as an industrial solvent with a trade name “Solvent 111”
- The emergency telephone number in New Zealand; see 1-1-1
- The Great Bear, number 111, was a locomotive of the Great Western Railway
- Baureihe 111 is a class of electric locomotives owned by Deutsche Bahn AG
- USS Vella Gulf (CVE-111) was a Commencement Bay class escort carrier of the United States Navy
- USS Giansar (AK-111) was a Liberty ship originally laid down as SS Thomas Ewing, and renamed in 1943
- The first USS Ingraham (DD-111) was a Wickes class destroyer in the United States Navy during the World War I
- USNS Mission Buenaventura (T-AO-111) was a T2 tanker built for the United States Maritime Commission during World War II
- London Buses route 111 is a Transport for London contracted bus route in London.
- STS-111 was a Space Shuttle mission to the International Space Station (ISS) flown by Space Shuttle Endeavour on June 5, 2002
- Cosmos 111 was the first Soviet attempt to orbit a spacecraft around the Moon which launched on March 1, 1966
- The meridian 111° west of Greenwich is a line of longitude that extends from the North Pole across the Arctic Ocean, North America, the Pacific Ocean, the Southern Ocean, and Antarctica to the South Pole.
- The 111th United States Congress will be the next meeting of the legislative branch of the United States federal government, from January 3, 2009 to January 3, 2011
- U.S. Route 111 was a U.S. Route that ran from Baltimore, Maryland north to Harrisburg, Pennsylvania
- Route 111 is a highway in Quebec, Canada
- N-111 highway is a highway in Spain, connecting Pamplona with Madrid
- China National Highway 111 runs from Beijing to Heilongjiang province.
- Northeast 111 is a peak-bagging list of 4000-foot (1219.2-m) mountains in the U.S. northeast.
- 111 Huntington Avenue ("The R2-D2 Building") is one of Boston's newest skyscrapers and part of the Prudential Center
- 111th Street is a station on the IND Fulton Street Line of the New York City Subway, on Liberty Avenue at 111th Street in Queens.
- ZIL-111 was a car from ZIL introduced in 1959
- The CAW Local 111 is a local union of the Canadian Auto Workers union representing bus operators in Vancouver, British Columbia
- 'eleventyone' is satirized internet slang for Over-exclamation in typed statements
- United Nations Security Council Resolution 111 of 1956 said the United Nations Truce Supervision Organization in Palestine violated the General Armistice Agreement
[edit] See also
[edit] References
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134
