Googology Wiki
Googology Wiki

View full site to see MathJax equation

110 (one hundred ten) is a positive integer following 109 and preceding 111. It is even and composite. In The Lord of the Rings, by J.R.R. Tolkien, the name eleventy is given, e.g. for Bilbos age.

110

Properties[]

  • 110 is a pronic number.[9]
  • 110 is deficient.[10]
  • Its prime factorization is 21 × 51 × 111.

Examples

  • 110 is an emergency phone number for police in Japan.[11]
  • It is the number of possible king moves in 4×5 minichess.
  • It is a common cab width (in centimeters) for elevators. Furthermore, it is a common number of grooves per step for escalators.

In googology

DeepLineMadom calls the number unoogol, unoo-hectol, and boo-endecol, and is equal to 10[1]100 in DeepLineMadom's Array Notation[12][13].

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 10 ↑ 2
Scientific notation 1.1 x 102 1.101 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(3)\) \(g_{\omega^{\omega}}(4)\)
Copy notation 9[2] 1[3]
Chained arrow notation 10 → 2
Bowers' Exploding Array Function/Bird's array notation {10,2}
Fast-growing hierarchy f1(54) f1(55)
Hardy hierarchy Hω(55) Hω(55)
Middle-growing hierarchy m(ω,6) m(ω,7)
Hyper-E notation E2.0414
Hyper-E notation (non-10 base) \(E[10]2\)
Hyperfactorial array notation 4! 5!
X-Sequence Hyper-Exponential Notation 10{1}2
Steinhaus-Moser Notation 3[3] 4[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.4) H(-0.3)
Bashicu matrix system with respect to version 4 (0)[10] (0)[11]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(54)\) \(s(1)(\lambda x . x+1)(55)\)

Sources[]



See also[]