Properties of the Number 22101

Twenty-Two Thousand One Hundred One

Basics

Value: 22100 → 22101 → 22102

Parity: odd

Prime: No

Previous Prime: 22093

Next Prime: 22109

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 53 × 139

Divisors: 1, 3, 53, 139, 159, 417, 7367, 22101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011001010101

Octal: 53125

Duodecimal: 10959

Hexadecimal: 5655

Square: 488454201

Square Root: 148.6640507991088

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) = (3 + 2·n + 6·n² + 4·n³)/3. A166464

Number of binary [ n,6 ] codes without 0 columns. A34347

a(0)=1; for n >= 1, a(n) = ∑_k=0..n 10^k*N(n,k), where N(n,k) = (1/n)*C(n,k)*C(n,k+1) are the Narayana numbers (A001263). A82148

a(0) = 1; for n >= 1, a(n) = 4·a(n-1) - (2ⁿ - 1). A79319

a(n) = N(5,n), where N(5,x) is the 5th Narayana polynomial. A90198

a(n) = ∑_{k=0..floor(n/2)} 2^k * binomial(2·n-2·k+1,2·k). A387624

a(n) = ∑_{k=0..floor(n/4)} C(n-2·k,2·k)*2^k. A98575

Number of non-isomorphic cross-balanced multiset partitions of weight n. A340651

4-Smith numbers. A103125

Total number of ON cells in the "Ulam-Warburton" two-dimensional cellular automaton of A147562 after A048645(n) generations. A255264