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118 (number)

## Summary

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

 ← 117 118 119 →
Cardinalone hundred eighteen
Ordinal118th
(one hundred eighteenth)
Factorization2 × 59
Divisors1, 2, 59, 118
Greek numeralΡΙΗ´
Roman numeralCXVIII
Binary11101102
Ternary111013
Octal1668
Duodecimal9A12

## 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.

Four expressions for 118 as the sum of three positive integers have the same product:

14 + 50 + 54 = 15 + 40 + 63 = 18 + 30 + 70 = 21 + 25 + 72 = 118 and
14 × 50 × 54 = 15 × 40 × 63 = 18 × 30 × 70 = 21 × 25 × 72 = 37800.

118 is the smallest number that can be expressed as four sums with the same product in this way.[1]

118 is a Leyland number of the second kind.

118!! - 1 is prime[2]

## In other fields

One hundred and eighteen is also:

## In dates

• 1/18 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.