Properties of the Number 43131

Forty-Three Thousand One Hundred Thirty-One

Basics

Value: 43130 → 43131 → 43132

Parity: odd

Prime: No

Previous Prime: 43117

Next Prime: 43133

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 1307

Divisors: 1, 3, 11, 33, 1307, 3921, 14377, 43131

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010100001111011

Octal: 124173

Duodecimal: 20B63

Hexadecimal: a87b

Square: 1860283161

Square Root: 207.68004237287704

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

Structured great rhombicosidodecahedral numbers. A100145

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -1,-1 1,0 -1,-2 -2,-2 or 0,1. A264676

Shifts 9 places left under Euler transform with a(0)=0 and a(n)=1 for n<9. A218026

a(n) = ∑_k=1..n σ(n·k). A372710

Number of (n+1) X (4+1) arrays of permutations of 0..n·5+4 with each element having directed index change -1,-1 1,0 -1,-2 -2,-2 or 0,1. A264672

Number of (6+1)X(n+1) arrays of permutations of 0..n·7+6 with each element having directed index change -1,-1 1,0 -1,-2 -2,-2 or 0,1. A264681

Number of partitions p of n such that if h = max(p) - min(p), then h is an (h,0)-separator of p; see Comments. A239514

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,2,1,0,0 for x=0,1,2,3,4. A197176

Numbers k such that 0 and 1 occur juxtaposed in the base-7 representation of k but not of k-1. A43131