# 118 (number)

Short description: Natural number
 ← 117 118 119 →
Cardinalone hundred eighteen
Ordinal118th
(one hundred eighteenth)
Factorization2 × 59
Divisors1, 2, 59, 118
Greek numeralΡΙΗ´
Roman numeralCXVIII
Binary11101102
Ternary111013
Quaternary13124
Quinary4335
Senary3146
Octal1668
Duodecimal9A12
Vigesimal5I20
Base 363A36

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

## In mathematics

There is no answer to the equation φ(x) = 118, making 118 a nontotient.[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.[2]

Because of its expression as 118 = 35 − 53, it is a Leyland number of the second kind.[3]

118!! - 1 is a prime number, where !! denotes the double factorial (the product of even integers up to 118).[4]

## In other fields

• There are 118 known elements on the Periodic Table, the 118th element being oganesson.