118 (number)

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

← 117 118 119 →
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Cardinal	one hundred eighteen
Ordinal	118th (one hundred eighteenth)
Factorization	2 × 59
Divisors	1, 2, 59, 118
Greek numeral	ΡΙΗ´
Roman numeral	CXVIII
Binary	11101102
Ternary	111013
Quaternary	13124
Quinary	4335
Senary	3146
Octal	1668
Duodecimal	9A12
Hexadecimal	7616
Vigesimal	5I20
Base 36	3A36

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.[1]

In telephony

• 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 Emergency medical services in Italy

In other fields

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

• 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

References

1. Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134 - 135
2. List of UK 118 directory enquiry services