Properties of the Number 13113

Thirteen Thousand One Hundred Thirteen

Basics

Value: 13112 → 13113 → 13114

Parity: odd

Prime: No

Previous Prime: 13109

Next Prime: 13121

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 31 × 47

Divisors: 1, 3, 9, 31, 47, 93, 141, 279, 423, 1457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001100111001

Octal: 31471

Duodecimal: 7709

Hexadecimal: 3339

Square: 171950769

Square Root: 114.51200810395389

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of independent polynomial invariants of matrix of order n. A7718

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) - m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = k if k <= floor(n/2) otherwise n-k, and m = 2, read by rows. A157211

Regular triangle where T(n,k) is the number of non-isomorphic multiset partitions of weight n with k connected components. A321194

Numbers having only digits 1 and 3 in their decimal representation. A32917

Numbers with multiplicative digital root value 9. A34056

a(n) = n*(14·n - 11). A195021

Nonprimes whose sum of digits is equal to its product of digits. A66307

Numbers with at least 2 distinct digits and whose "rotations" (including the number itself) are multiples of these digits; repeated digits allowed but digit 0 not allowed. A66484

Concatenations of pairs of primes that differ by 100. A103523

a(n) = (n-2)*(14·n-39) for n > 2, otherwise a(n) = n. A195030