11112
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 27840
- Proper Divisor Sum (Aliquot Sum)
- 16728
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3696
- Möbius Function
- 0
- Radical
- 2778
- Omega Function (Ω)
- 5
- 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
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 130
- Smith Number
- no
- Vampire 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
Appears in sequences
- Numbers that contain only 1's and 2's. Nonempty binary strings of length n in lexicographic order.at n=31A007931
- Number of squarefree palindromes over {0, 1, 2} of length 2n+1.at n=32A012212
- First differences of A010785.at n=45A027828
- Numbers whose product of digits is prime.at n=40A028842
- Numbers whose maximal base-10 run length is 4.at n=11A033285
- Numbers divisible by the sum and product of their digits.at n=44A038186
- Numbers having four 1's in base 10.at n=5A043496
- a(n) = A047848(7,n).at n=5A047855
- Positive numbers n such that n is a multiple of (product of digits of n) * (sum of digits of n).at n=9A049102
- Product of the digits of n divides the sum of the digits of n.at n=39A055931
- Digitized partition numbers: numbers with (weakly) increasing digits ordered by sum of their digits then by the numbers themselves.at n=28A060002
- Numbers in Morse code, with 1 for a dot, 2 for a dash and 0 between digits/letters.at n=4A060109
- Integers whose decimal expansion start with 1, do not contain zeros and each successive digit to the right is at most one greater than the previous digit.at n=23A071159
- Leftmost 1 is converted to a 2, which then propagates one step at a time until it is rightmost; then it changes to a pair of 1's and the process repeats.at n=20A071762
- Largest multiple of n using only nonzero digits with digit sum n, or 0 if no such multiple exists.at n=5A075399
- Numbers n such that sum of squares of even digits of n equals sum of squares of odd digits of n.at n=1A076164
- Array in which the n-th row contains the multiples of n using nonzero digits and having a digit sum of n. Sequence contains the rows and a zero entry for rows with no terms (e.g. 10).at n=19A077755
- Largest multiple of n as a concatenation of its partitions.at n=5A079840
- a(1) = 1, then the smallest number not included earlier and not a string of 1's such that the concatenation a(n), a(n+1) is a palindrome.at n=15A083122
- Multiples of 2 in which there is no common digit in successive terms.at n=29A083490