110
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 2
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 216
- Proper Divisor Sum (Aliquot Sum)
- 106
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 40
- Möbius Function
- -1
- Radical
- 110
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 113
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- einshundertzehn· ordinal: einshundertzehnste
- English
- one hundred ten· ordinal: one hundred tenth
- Spanish
- ciento diez· ordinal: 110º
- French
- cent dix· ordinal: cent dixième
- Italian
- centodieci· ordinal: 110º
- Latin
- centum decem· ordinal: 110.
- Portuguese
- cento e dez· ordinal: 110º
Appears in sequences
- Let k = p_1^e_1 p_2^e_2 p_3^e_3 ... be the prime factorization of n. Sequence gives k such that the sum of the numbers of 1's in the binary expansions of e_1, e_2, e_3, ... is odd.at n=54A000028
- Local stops on New York City 1 Train (Broadway-7 Avenue Local) subway.at n=14A000053
- Local stops on New York City A line subway.at n=12A000054
- Numbers k such that (2k)^4 + 1 is prime.at n=31A000059
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=55A000069
- a(n) = floor(n^(3/2)).at n=23A000093
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=43A000115
- Number of trees of diameter 5.at n=11A000147
- Lower Wythoff sequence (a Beatty sequence): a(n) = floor(n*phi), where phi = (1+sqrt(5))/2 = A001622.at n=67A000201
- a(8i+j) = 13i + a(j), where 1<=j<=8.at n=67A000202
- Number of permutations of length n with 2 consecutive ascending pairs.at n=5A000274
- Numbers that are the sum of 3 but no fewer nonzero squares.at n=46A000419
- n written in base where place values are positive cubes.at n=35A000433
- Numbers written in base of triangular numbers.at n=8A000462
- 1 together with products of 2 or more distinct primes.at n=39A000469
- Generalized Stirling numbers of second kind.at n=2A000559
- Number of monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are not stereoisomers.at n=11A000621
- Alkyl naphthalenes C_{n+10} H_{2n+8} with n+10 carbon atoms.at n=4A000647
- Generating function = Product_{m>=1} 1/(1 - x^m)^2; a(n) = number of partitions of n into parts of 2 kinds.at n=7A000712
- Expansion of Product (1 - x^k)^8 in powers of x.at n=12A000731