Properties of the Number 12191

Twelve Thousand One Hundred Ninety-One

Basics

Value: 12190 → 12191 → 12192

Parity: odd

Prime: No

Previous Prime: 12163

Next Prime: 12197

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 73 × 167

Divisors: 1, 73, 167, 12191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110011111

Octal: 27637

Duodecimal: 707B

Hexadecimal: 2f9f

Square: 148620481

Square Root: 110.41286156965592

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

Coordination sequence for (2,5,6) tiling of hyperbolic plane. A265065

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281765

Smallest k>n such that n³+1 divides k·n²+1. A71568

a(n) = ∑_d∣n σ(n/d)*d³. A27847

a(n) = ∑_d∣n d³*A000593(n/d). A288419

Cycle of the inventory sequence (as in A063850) starting with n consists of prime numbers. A78970

Numbers k such that 11k = 6j² + 6j + 1. A106388

a(n) = a(n-1) + 10·a(n-3) for n > 2; a(0) = a(1) = a(2) = 1. A178205

a(n) = ∑_k=0..n (-1)^k+1 * k·A000041(n-k). A270143

Row sums of triangle A131424. A131425