110 (number)

← 109 110 111 →
← 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 ten
Ordinal	110th (one hundred tenth)
Factorization	2 × 5 × 11
Divisors	1, 2, 5, 10, 11, 22, 55, 110
Greek numeral	ΡΙ´
Roman numeral	CX, cx
Binary	11011102
Ternary	110023
Senary	3026
Octal	1568
Duodecimal	9212
Hexadecimal	6E16

110 (one hundred [and] ten) is the natural number following 109 and preceding 111.

In mathematics

110 is a sphenic number and a pronic number. ^[1] Following the prime quadruplet (101, 103, 107, 109), at 110, the Mertens function reaches a low of −5.

110 is the sum of three consecutive squares, ${\displaystyle 110=5^{2}+6^{2}+7^{2}}$.

RSA-110 is one of the RSA numbers, large semiprimes that are part of the RSA Factoring Challenge.

In base 10, the number 110 is a Harshad number ^[2] and a self number. ^[3]

In other fields

110 is also:

• 1-1-0, the emergency telephone number used to reach police services in Iran, Germany, Estonia, China, Indonesia, and Japan. Also used to reach the fire and rescue services in Norway and Turkey.
• A percentage in the expression "To give 110%", meaning to give a little more effort than one's maximum effort
• Lowest number to not be considered a favourite by anyone among 44,000 people surveyed in a 2014 online poll ^[4] and subsequently adopted by British television show QI as the show's favourite number in 2017.

Eleventy

Compare twelfty .

As 110

• One hundred and ten is also known as "eleventy", a term made famous in its ordinal form by linguist and author J. R. R. Tolkien (Bilbo Baggins celebrates his eleventy-first birthday at the beginning of The Lord of the Rings) and derived from the Old English hund endleofantig. ^[5]
• Eleventy is used in the comic reading of a phone number in the Irish TV series The Savage Eye by Dave McSavage playing an opiate user advertising life insurance.

Other meanings of eleventy

• Eleventy has also been used to mean an indefinite large number - "lots".^{[ citation needed ]} Similarly eleventy-eleven was used in nineteenth century Mississippi in the same role. ^[6]

References

1. "Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
2. "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
3. "Sloane's A003052 : Self numbers or Colombian numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
4. Bellos, Alex (2014-04-08). "'Seven' triumphs in poll to discover world's favourite number". The Guardian. ISSN   0261-3077 . Retrieved 2017-02-08.
5. Etymology at www.etymoline.com
6. Hubert Anthony Shands (1893). Some Peculiarities of Speech in Mississippi. Norwood Press. p. 43.