Properties of the Number 10919

Ten Thousand Nine Hundred Nineteen

Basics

Value: 10918 → 10919 → 10920

Parity: odd

Prime: No

Previous Prime: 10909

Next Prime: 10937

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 61 × 179

Divisors: 1, 61, 179, 10919

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010100111

Octal: 25247

Duodecimal: 639B

Hexadecimal: 2aa7

Square: 119224561

Square Root: 104.4940189675945

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) = 4·n² - 6·n + 1. A125202

a(n) = ∑_d∣n (-1)^n/d+1 * (n-1)!/(d-1)!. A352013

Numbers k such that sopfr(k) = sopfr(k - sopfr(k)). A50781

Self-convolution 6th power equals A106224, which consists entirely of digits {0,1,2,3,4,5} after the initial terms {1,6}. A106225

a(0) = 3, a(1) = 5, a(2) = 1, and a(n) = (2^{1 + n} - 11*(-1)ⁿ)/3 for n > 2. A115335

Sum of tail length of S over all 2ⁿ strings S consisting of n 2's and 3's. A216813

G.f.: ∏_k>=1 1/(1-x^k)^Fibonacci(k+2). A260787

Sum of products of elements of nonempty subsets of divisors of n. A229337

Number of partitions of n into parts > 0 without 1 as digit, cf. A052383. A248518

a(n) is the rank of row n of A375301 in a lexicographic permutation of [1, ..., n]. A375302