Properties of the Number 91151

Ninety-One Thousand One Hundred Fifty-One

Basics

Value: 91150 → 91151 → 91152

Parity: odd

Prime: Yes

Previous Prime: 91141

Next Prime: 91153

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 91151

Divisors: 1, 91151

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110010000001111

Octal: 262017

Duodecimal: 448BB

Hexadecimal: 1640f

Square: 8308504801

Square Root: 301.91223890395696

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 T(n,k) of nodes in the k-th connected component of all endofunctions on [n] when components are ordered by increasing size; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A350202

Primes p such that (p reversed)+10 is a square. A167474

Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and the total absolute value of displacements not greater than 2*(n-1). A263903

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and the total absolute value of displacements not greater than 2*(n-1). A263905

Row sums of triangle A091150, in which the n-th row lists the coefficients of the polynomial of degree n that generates the n-th diagonal. A91151

G.f.: A(x) = 1 + x·A₁(x)²; A₁(x) = (1+x) + x·A₂(x)²; A₂(x) = (1+x)² + x·A₃(x)²; ...; A_n(x) = (1+x)ⁿ + x·A_n+1(x)² for n>=0 with A(x) = A₀(x). A138294

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