Properties of the Number 31110

Thirty-One Thousand One Hundred Ten

Basics

Value: 31109 → 31110 → 31111

Parity: even

Prime: No

Previous Prime: 31091

Next Prime: 31121

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 17 × 61

Divisors: 1, 2, 3, 5, 6, 10, 15, 17, 30, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100110000110

Octal: 74606

Duodecimal: 16006

Hexadecimal: 7986

Square: 967832100

Square Root: 176.38027100557477

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

Triangle of Gaussian binomial coefficients [ n,k ] for q = 13. A22177

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=9. A135194

Numbers k such that k² is palindromic in base 13. A29998

Numbers k for which σ(k - x) + σ(k + x) = 8·k has at least one nonnegative solution. A384841

Palindromic in bases 11 and 13. A249157

Expansion of ∑_1<=i<=j q^i+j/( (1-qⁱ)*(1-q^j) )². A374929

Expansion of ∏_k>=1 (1 + x^k) * (1 + x^k²) * (1 + x^k³). A369575

Numbers whose set of base-13 digits is {1,2}. A32933

Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically. A207365

Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically. A207372