118 (number)

← 117 118 119 →
← 110 111 112 113 114 115 116 117 118 119 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred eighteen
Ordinal	118th (one hundred and eighteenth)
Factorization	2 × 59
Divisors	1, 2, 59, 118
Roman numeral	CXVIII
Binary	11101102
Ternary	111013
Quaternary	13124
Quinary	4335
Senary	3146
Octal	1668
Duodecimal	9A12
Hexadecimal	7616
Vigesimal	5I20
Base 36	3A36

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.

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.

In telephony

• The beginning of directory enquiries numbers in the United Kingdom, France, Germany, 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

One hundred and eighteen is also:

• The amount of elements on the periodic table
• Ununoctium, an element with atomic number 118
• 118 (TV series), a 255-episode Singaporean television drama airing from 2014 to 2015
• 118 (Robotics Team), have you seen 118?

In dates

• 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

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