118 (one hundred [and] eighteen) is the natural number following 117 and preceding 119.
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.
In other fields
One hundred and eighteen is also:
- 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.
- ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134 - 135
- ^ List of UK 118 directory enquiry services