110 (number)

110 (one hundred [and] ten) is the natural number following 109 and preceding 111.

It is also known as "eleventy", a term made famous by linguist and author J. R. R. Tolkien (Bilbo Baggins celebrates his eleventy-first birthday at the beginning of The Lord of the Rings) and derived from the Old English hund endleofantig.[1] When the word eleventy is used, it may indicate the exact number (110), or more commonly an indefinite large number such as gazillion.

110
Cardinal one hundred [and] ten
Ordinal 110th
(one hundred [and] tenth)
Numeral system 110
Factorization 2 \cdot 5 \cdot 11
Divisors 1, 2, 5, 10, 11, 22, 55, 110
Roman numeral CX
Binary 11011102
Octal 1568
Duodecimal 9212
Hexadecimal 6E16

Contents

In mathematics

110 is a sphenic number and a pronic number. Following the prime quadruplet (101, 103, 107, 109), at 110, the Mertens function reaches a low of −5.

110 is the sum of three consecutive squares, 110 = 5^2 %2B 6^2 %2B 7^2.

110 is the side of the smallest square that can be tiled with distinct integer-sided squares.

RSA-110 is one of the RSA numbers, large semiprimes that are part of the RSA Factoring Challenge.

The Rule 110 cellular automaton, like Conway's Game of Life, exhibits what Stephen Wolfram calls "Class 4 behavior," which is neither completely random nor completely repetitive.[2]

In base 10, the number 110 is a Harshad number and a self number.

In science

In sports

Olympic track and field athletics run 110 meter hurdles.

The International 110, or the 110, is a one-design racing sailboat designed in 1939 by C. Raymond Hunt.

In other fields

110 is also:

See also

References

  1. ^ Etymology at www.etymoline.com
  2. ^ Stephan Wolfram, A New Kind of Science p229.