ⓘ 118 (number)

                                     

ⓘ 118 (number)

There is no answer to the equation φx = 118, making 118 a nontotient.

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

  • The beginning of directory enquiries numbers in the United Kingdom, France, Germany, Greece, Latvia, Sweden, Ireland, Iran and Turkey
  • The medical emergency telephone number in Bolivia and Indonesia
  • The fire emergency telephone number in Switzerland
  • The emergency at sea emergency telephone number in Japan
  • The Emergency medical services in Italy
                                     

2. In other fields

One hundred and eighteen is also:

  • 118 TV series, a 255-episode Singaporean television drama airing from 2014 to 2015
  • Oganesson, an element with atomic number 118