10111
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10112
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10110
- Möbius Function
- -1
- Radical
- 10111
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1242
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Least positive multiple of n written in base 5 using only 0 and 1.at n=7A004285
- Least positive multiple of n written in base 5 using only 0 and 1.at n=40A004285
- Least positive multiple of n written in base 5 using only 0 and 1.at n=15A004285
- Least positive multiple of n written in base 6 using only 0 and 1.at n=12A004286
- Least positive multiple of n written in base 8 using only 0 and 1.at n=10A004288
- Primes written in base 2.at n=8A004676
- The binary numbers (or binary words, or binary vectors, or binary expansion of n): numbers written in base 2.at n=23A007088
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=37A007811
- Binary reflected Gray code.at n=26A014550
- Primes whose greatest digit is 1.at n=2A020449
- Palindromic primes in base 3.at n=20A029971
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 99.at n=29A031597
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=19A031824
- Lucky numbers with size of gaps equal to 16 (upper terms).at n=28A031899
- Smallest n-digit prime containing only digits 0 and 1, or 0 if no such prime exists.at n=4A036929
- Primes having only {0, 1, 2} as digits.at n=9A036953
- Smallest prime containing exactly n 1's.at n=4A037055
- Positive numbers having the same set of digits in base 2 and base 10.at n=19A037415
- Numbers k such that k is a substring of its base-2 representation.at n=17A038102
- Sums of 4 distinct powers of 10.at n=1A038446