Properties of the Number 13200

Thirteen Thousand Two Hundred

Basics

Value: 13199 → 13200 → 13201

Parity: even

Prime: No

Previous Prime: 13187

Next Prime: 13217

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ² × 11

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110010000

Octal: 31620

Duodecimal: 7780

Hexadecimal: 3390

Square: 174240000

Square Root: 114.89125293076057

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

Number of invertible 2 X 2 matrices mod n. A252

a(n) = n*(n+4)*(n+5)/6. A5586

Numbers that can be expressed as the difference of the squares of primes in exactly four distinct ways. A92000

Denominator of B_2n/(-4n), where B_m are the Bernoulli numbers. A6863

Eisenstein series E₂₀(q) (alternate convention E₁₀(q)), multiplied by 174611. A29830

Number of the Lipschitz quaternions in a reduced system modulo n. A227499

Numbers k such that σ(x) = k has exactly 8 solutions. A60664

Largest number m such that aⁿ == 1 (mod m) whenever a is coprime to m. A79612

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically. A207123

Neither the unsorted prime signature of a(n) nor the negated unsorted prime signature of a(n) is unimodal. A332643