Properties of the Number 1113

One Thousand One Hundred Thirteen

Basics

Value: 1112 → 1113 → 1114

Parity: odd

Prime: No

Previous Prime: 1109

Next Prime: 1117

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

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

Triangle T(n,k) read by rows: T(n,k) is the number of compositions of n with k descents, n>=0, 0<=k<=n. A238343

Numbers that are divisible by the product of their digits. A7602

Describe n. Also called the "Say What You See" or "Look and Say" sequence LS(n). A45918

Coordination sequence for "flu" 3D uniform tiling formed from tetrahedra, rhombicuboctahedra, and cubes. A299272

Number of reduced words of length n in the Weyl group D₉. A162212

Least k such that there are exactly n ways to choose a sequence of divisors, one of each element of the multiset of prime indices of k (with multiplicity). A355732

Numbers whose sum of digits is 6. A52220

Numbers that are the sum of 7 positive 6th powers. A3363