Properties of the Number 12102

Twelve Thousand One Hundred Two

Basics

Value: 12101 → 12102 → 12103

Parity: even

Prime: No

Previous Prime: 12101

Next Prime: 12107

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 2017

Divisors: 1, 2, 3, 6, 2017, 4034, 6051, 12102

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101000110

Octal: 27506

Duodecimal: 7006

Hexadecimal: 2f46

Square: 146458404

Square Root: 110.00909053346456

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

Numbers k such that k, k + 1 and k + 2 are 3 consecutive Harshad numbers. A154701

Beginning of a run of 4 consecutive Niven (or Harshad) numbers. A141769

Number of integer partitions of n such that for some part k the multiplicity of k exceeds k. A387578

Number of unlabeled rooted trees with n nodes in which all outdegrees are either 0, 1, or 3. A298204

Numbers in base -3. A73785

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically. A207564

Expansion of q * (ψ(q³)³ / ψ(q)) / (φ(-q)³ / φ(-q³)) in powers of q where φ(), ψ() are Ramanujan θ functions. A128638

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 0 1 vertically. A207419

Numbers n such that there is no triangular n-gonal number greater than 1. A188892

Numbers k such that k is a substring of its base-3 representation. A38103