Properties of the Number 12133

Twelve Thousand One Hundred Thirty-Three

Basics

Value: 12132 → 12133 → 12134

Parity: odd

Prime: No

Previous Prime: 12119

Next Prime: 12143

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 11 × 1103

Divisors: 1, 11, 1103, 12133

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101100101

Octal: 27545

Duodecimal: 7031

Hexadecimal: 2f65

Square: 147209689

Square Root: 110.14989786649826

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 enriched r-trees of size n. A301462

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281563

a(n) = Sum{k=0..n} T(n,k), T given by A026747. A26754

Numbers that begin a run of an odd number of consecutive integers whose cubes sum to a square. A253679

Number of labeled antichain hyperforests spanning a subset of {1,...,n}. A304918

Coefficient of q^2n-1 in the series expansion of Ramanujan's mock θ function f(q). A199

Words over an alphabet of size 9 that are in standard order with at least one letter repeated. A273977

Odd numbers producing 20 even numbers in the Collatz iteration. A199818

Zeroless numbers n with digits d₁, d₂, ... d_k such that d₁³ + ... + d_k³ is a cube. A254960

Number of partitions of n such that 5*(greatest part) >= (number of parts). A347869