111
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 3
- Digital Root
- 3
- Palindromic Number
- yes
- Repdigit
- yes
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 152
- Proper Divisor Sum (Aliquot Sum)
- 41
- 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
- 72
- Möbius Function
- 1
- Radical
- 111
- Omega Function (Ω)
- 2
- 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
- 69
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Names
- German
- einshundertelf· ordinal: einshundertelfste
- English
- one hundred eleven· ordinal: one hundred eleventh
- Spanish
- ciento once· ordinal: 111º
- French
- cent onze· ordinal: cent onzième
- Italian
- centoundici· ordinal: 111º
- Latin
- centum undecim· ordinal: 111.
- Portuguese
- cento e onze· ordinal: 111º
Appears in sequences
- Unary representation of natural numbers.at n=2A000042
- Number of positive integers <= 2^n of form x^2 + 2 y^2.at n=8A000067
- Number of Boolean functions of n variables.at n=3A000157
- A Beatty sequence: floor(n*(e-1)).at n=64A000210
- 3*n - 2*floor(sqrt(4*n+5)) + 5.at n=44A000277
- Triangle of numbers related to triangle A049213; generalization of Stirling numbers of second kind A008277, Bessel triangle A001497.at n=7A000369
- 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=55A000379
- n written in base where place values are positive cubes.at n=36A000433
- 1 together with products of 2 or more distinct primes.at n=40A000469
- A Beatty sequence: [ n(e+1) ].at n=29A000572
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n.at n=26A000606
- Number of partitions of n into prime parts.at n=31A000607
- a(n) = 3*Catalan(n) - Catalan(n-1) - 1.at n=4A000781
- Strobogrammatic numbers: the same upside down.at n=8A000787
- Numbers beginning with a vowel in English.at n=25A000852
- Numbers beginning with letter 'o' in English.at n=12A000865
- a(2n) = n+2, a(2n-1) = smallest number requiring n+2 letters in English.at n=32A000916
- Dimension of the n-th graded piece of the mod-2 Steenrod algebra A_2.at n=45A000929
- Genus of complete graph on n nodes.at n=39A000933
- Lucky numbers.at n=24A000959