Properties of the Number 20130

Twenty Thousand One Hundred Thirty

Basics

Value: 20129 → 20130 → 20131

Parity: even

Prime: No

Previous Prime: 20129

Next Prime: 20143

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 11 × 61

Divisors: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100111010100010

Octal: 47242

Duodecimal: B796

Hexadecimal: 4ea2

Square: 405216900

Square Root: 141.8802311810916

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 partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 3). A46765

Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 3·x + 5. A257624

Numbers n such that n divides the denominator of 2n-th Bernoulli number. A106741

a(n) = 159·2ⁿ - 222 (n>=1). A304515

Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + log(1-x))³ ). A376393

a(n) = (n³ + 4·n² - n)/2. A162260

Ordered m for which m = k³*a·b*(a⁴ - b⁴) determine (unique) solution triples(k,a,b), where k=1,2,3,... and (a,b) are coprime pairs, not both odd (i.e., of opposite parity). A81779

Number of nX4 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero. A301786

(s(n)+s(n+1))/6, where s()=A006521. A16059

(s(n)+s(n+1))/18, where s()=A006521. A16060