118 (number)

118 (one hundred [and] eighteen) is the natural number following 117 and preceding 119.

← 117 119 → 118
← 110 111 112 113 114 115 116 117 118 119 → List of numbers — Integers ← 100 110 120 130 140 150 160 170 180 190 →
Cardinal	one hundred [and] eighteen
Ordinal	118th (one hundred [and] eighteenth)
Numeral system	118
Factorization	$2 \cdot 59$
Divisors	1, 2, 59, 118
Roman numeral	CXVIII
Binary	1110110₂
Octal	166₈
Duodecimal	9A₁₂
Hexadecimal	76₁₆

1 In mathematics
2 In telephony
3 In other fields
4 In dates
5 See also
6 References

In mathematics

There is no answer to the equation φ(x) = 118, making 118 a nontotient.

118 is the smallest n such that the range n, n + 1, ... 4n/3 contains at least one prime from each of these forms: 4x + 1, 4x - 1, 6x + 1 and 6x - 1.

Another way in which 118 is the smallest is that there are no smaller integers that can be expressed as the sum of three integers such that each set of three has the same product. For 118, those are 14 + 50 + 54 = 15 + 40 + 63 = 18 + 30 + 70 = 21 + 25 + 72.^[1]

In telephony

The beginning of directory enquiries numbers in the United Kingdom,^[2] France, Germany, Latvia, Sweden, Ireland, and Turkey
The directory enquiries number in Iran
The emergency at sea emergency telephone number in Japan
The fire emergency telephone number in Switzerland
The medical emergency telephone number in Bolivia and Indonesia
The medical and Alpine rescue emergency telephone number in Italy

In other fields

One hundred and eighteen is also:

Ununoctium, an element with atomic number 118

In dates

118 can also represent the day January 18. The 118th day of the year is April 28, on regular years. On leap years it is April 27.

References

^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134 - 135
^ List of UK 118 directory enquiry services