11201
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11712
- Proper Divisor Sum (Aliquot Sum)
- 511
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10692
- Möbius Function
- 1
- Radical
- 11201
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire 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
Appears in sequences
- Primes in ternary.at n=30A001363
- Worst cases for Pierce expansions (numerators).at n=27A006537
- Erroneous version of A307102.at n=29A019513
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 21 (most significant digit on right and removing all least significant zeros before concatenation).at n=11A029538
- Numbers whose base-7 representation contains exactly four 4's.at n=17A043412
- Each permutation in the list A060118 converted to Site Swap notation, with digits reversed and inverted. "Zero throws" (fixed elements) indicated with 0's.at n=34A060499
- Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=53A063381
- Totally balanced decimal numbers: if we assign the weight w(d) = d-1 to each digit d (i.e., w(0) = -1, w(1) = 0, ..., w(9) = 8) and then read the digits of the term from left to right, the partial sum of the weights is never negative and the total weighted sum is zero.at n=24A071154
- Łukasiewicz words that are also valid asynchronic siteswap juggling patterns.at n=29A071160
- Integers whose decimal expansion satisfies the condition that if we read each term from the left to right (the most significant to the least significant digit) then each nonzero digit gives a distance to the next nonzero digit to right (with a cyclic wrap-over from the least-significant to the most significant nonzero digit).at n=18A071161
- Variant of the factorial base representation of n.at n=34A072001
- Numbers n for which there is a unique k such that n = k + reverse(k).at n=39A072427
- Primes of form 4k+3 written in base 3.at n=15A072805
- Smallest nontrivial multiple of n whose digit sum is the same as that of the digit sum of n. By nontrivial one means a(n) is not equal to n or (10^k)*n. 0 if no such number exists.at n=21A087303
- "Lazy binary" representation of n. Also called redundant binary representation of n.at n=33A089591
- a(n) = 127 written in base n.at n=2A095644
- a(n) = 127 written in base 11 - n.at n=8A095645
- Sum of the primes in ordered 3 X 3 prime squares.at n=22A105089
- Let f(i) = prime( f(i - 1) (modulo 10^n) ) with f(0) = 1; a(n) is the length of the period of the sequence f(i).at n=8A128867
- Triangle T(n, k, m) = coefficients of p(x, n, m) where p(x,n,m) = (x+1)*p(x, n-1, m) + 2^(m+n-1) *x*p(x, n-2, m) and m=1, read by rows.at n=30A154980