118 (number)

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

In mathematics[edit]

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]

In telephony[edit]

• The beginning of directory enquiries numbers in the United Kingdom,^[2] France, Germany, Greece, Latvia, Sweden, Ireland, Iran and Turkey
• 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[edit]

One hundred and eighteen is also:

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

In dates[edit]

• 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.

See also[edit]

• List of highways numbered 118
• 118 118 European directory enquiries
• 118th Street, Manhattan

References[edit]

Wikimedia Commons has media related to 118 (number).