110 (number)

110 is a natural number that lies between 109 and 111. It is written as three digits in the standard base-10 system and is an even number divisible by two.

The number is used in mathematics, measurement, and everyday designations such as road numbers, sports records, and certain emergency services. Its properties derive from its prime factorization.

Mathematical properties

110 can be broken down into prime factors as 2 × 5 × 11. It is therefore divisible by 1, 2, 5, 10, 11, 22, 55, and 110 itself. Because it has three distinct prime factors, each appearing once, it is classified as a sphenic number — a mathematical term for a number formed from the product of three distinct primes.

110 is also a pronic number (or oblong number), which means it can be obtained by multiplying two consecutive integers: 10 × 11 = 110. The sum of the integers from 1 to 10 doubled likewise yields the same result.

Representation in other numeral systems

In the binary system, 110 is represented as 1101110. In hexadecimal it is 6E. It should be noted that the digits '110' when read as binary notation represent the base-10 number 6, which is distinct from the subject of this article.

General use

Many countries use 110 as an emergency telephone number, particularly for police or fire services; systems vary from country to country. It is also used to denote electrical voltage in certain household power networks and in sports measurements such as the 110-metre hurdles.