Properties of the Number 2119

Two Thousand One Hundred Nineteen

Basics

Value: 2118 → 2119 → 2120

Parity: odd

Prime: No

Previous Prime: 2113

Next Prime: 2129

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 13 × 163

Divisors: 1, 13, 163, 2119

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001000111

Octal: 4107

Duodecimal: 1287

Hexadecimal: 847

Square: 4490161

Square Root: 46.03259714593562

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(n) = n·a(n-1) + (n-1)*a(n-2), a(0) = 1, a(1) = 1. A255

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3⁴.6 2D tiling (cf. A250120). A299254

The number of n-full sets, F(n). A188431

Number of non-condensed integer partitions of n, or partitions where it is not possible to choose a different divisor of each part. A370320

Triangle read by rows: T(n,k) is the number of permutations of [n] having k consecutive ascending pairs (0 <= k <= n-1). A10027

a(n) = n² + 3. A117950

Generalized 29-gonal (or icosienneagonal) numbers: m*(27·m - 25)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303815

Fifth subdiagonal in array of n-gonal numbers A081422. A81436

Triangular array formed from successive differences of factorial numbers. A47920

Numerator of ∑_k=0..n (-1)^k/k!. A53557