Properties of the Number 21116

Twenty-One Thousand One Hundred Sixteen

Basics

Value: 21115 → 21116 → 21117

Parity: even

Prime: No

Previous Prime: 21107

Next Prime: 21121

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5279

Divisors: 1, 2, 4, 5279, 10558, 21116

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001001111100

Octal: 51174

Duodecimal: 10278

Hexadecimal: 527c

Square: 445885456

Square Root: 145.31345429794172

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

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A297720

Sums of knight's moves over the square |i|+|j|<=n on infinite chessboard. A183053

Number of partitions with maximum rectangle <= n. A115725

Conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius n. A121346

Ceiling of γ(n + 7/9)/γ(7/9). A20110

Numbers k such that A109217(k) is prime. A109218

Number of idempotent 3X3 0..n matrices. A222822

Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A297715

Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A297725

Decimal expansion of 1/112. A21116