112
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 248
- Proper Divisor Sum (Aliquot Sum)
- 136
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 48
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 20
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- einshundertzwölf· ordinal: einshundertzwölfste
- English
- one hundred twelve· ordinal: one hundred twelfth
- Spanish
- ciento doce· ordinal: 112º
- French
- cent douze· ordinal: cent douzième
- Italian
- centododici· ordinal: 112º
- Latin
- centum duodecim· ordinal: 112.
- Portuguese
- cento e doze· ordinal: 112º
Appears in sequences
- Expansion of e.g.f. exp(-2*x)/(1-x).at n=6A000023
- Number of primitive n-bead necklaces (turning over is allowed) where complements are equivalent.at n=12A000046
- Generalized tangent numbers d(n,1).at n=39A000061
- Generalized tangent numbers d(n,1).at n=46A000061
- Generalized tangent numbers d(n,1).at n=43A000061
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=14A000064
- Smallest number of vertices in trivalent graph with girth (shortest cycle) = n.at n=8A000066
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=56A000069
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=13A000118
- Number of ways of writing n as a sum of 5 squares.at n=5A000132
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=35A000134
- Number of ways of writing n as a sum of 8 squares.at n=2A000143
- Topswops (2): start by shuffling n cards labeled 1..n. If the top card is m, reverse the order of the top m cards. Repeat until 1 gets to the top, then stop. Suppose the whole deck is now sorted (if not, discard this case). a(n) is the maximal number of steps before 1 got to the top.at n=14A000376
- Numbers where total number of 1-bits in the exponents of their prime factorization is even; a 2-way classification of integers: complement of A000028.at n=56A000379
- n written in base where place values are positive cubes.at n=37A000433
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=7A000566
- Number of nonnegative solutions of x^2 + y^2 = z in first n shells.at n=53A000592
- Expansion of Product_{n>=1} (1 - x^n)^7.at n=13A000730
- Total number of 1's in binary expansions of 0, ..., n.at n=43A000788
- Numbers beginning with a vowel in English.at n=26A000852