Properties of the Number 11137

Eleven Thousand One Hundred Thirty-Seven

Basics

Value: 11136 → 11137 → 11138

Parity: odd

Prime: No

Previous Prime: 11131

Next Prime: 11149

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 × 37 × 43

Divisors: 1, 7, 37, 43, 259, 301, 1591, 11137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110000001

Octal: 25601

Duodecimal: 6541

Hexadecimal: 2b81

Square: 124032769

Square Root: 105.53198567259123

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

Second pentagonal numbers with even index: a(n) = n*(6·n+1). A49453

Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c²+d²)/2)). A134602

Pseudoprimes to base 6. A5937

Lexicographically earliest increasing sequence which lists the positions of the zero digits in the sequence. A167519

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order. A204492

G.f.: 1 + ∑_n>=1 a(n)*xⁿ/(1 - xⁿ) = ∏_n>=1 1/(1 - xⁿ)ⁿ. A300275

Numbers having exactly four representations by the quadratic form x²+xy+y² with 0<=x<=y. A198775

Denominator of (∏_j=0..n-1 (((2·j+1)*(3·j+4))/((j+1)*(6·j+1))) - 1). A271926

a(n) = n*(8·n+5). A139277

Products of three distinct primes of the form 6·k + 1. A154729