Properties of the Number -1113

One Hundred Thirteen

Basics

Value: -1114 → -1113 → -1112

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 53

Divisors: 1, 3, 7, 21, 53, 159, 371, 1113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10001011001

Octal: -2131

Duodecimal: -789

Hexadecimal: -459

Square: 1238769

Square Root: 33.36165463522455

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

A Seidel matrix A(n,k) read by antidiagonals upwards. A323833

a(n) = -2ⁿ*(E(n, 1/2) + E(n, 1) + (n mod 2)*2*(E(n+1, 1/2) + E(n+1, 1))), where E(n, x) are the Euler polynomials. A240559

a(n) = -2^2·n+1*(E(2·n+1, 1/2) + E(2·n+1, 1) + 2*(E(2·n+2, 1/2) + E(2·n+2, 1))), where E(n,x) are the Euler polynomials. A241242

Expansion of e.g.f.: log(1 + tanh(x)*exp(x)). A9395

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 331", based on the 5-celled von Neumann neighborhood. A271280

Expansion of sin(sinh(x)/cos(x)). A9498

cosh(log(x+1)-sin(x))= 1+3/4!*x⁴-30/5!*x⁵+180/6!*x⁶-1113/7!*x⁷... A13219

sec(log(x+1)-sin(x))= 1+3/4!*x⁴-30/5!*x⁵+180/6!*x⁶-1113/7!*x⁷... A13220

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Numbers k such that (266·10^k + 1)/3 is prime. A269303