Properties of the Number 10819

Ten Thousand Eight Hundred Nineteen

Basics

Value: 10818 → 10819 → 10820

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 31 × 349

Divisors: 1, 31, 349, 10819

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001000011

Octal: 25103

Duodecimal: 6317

Hexadecimal: 2a43

Square: 117050761

Square Root: 104.01442207694085

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 integer partitions of n with no adjacent parts having quotient > 2. A342094

Coefficients in 1/(1+P(x)), where P(x) is the generating function of the primes. A30018

Numbers that are the sum of nine fourth powers in eight or more ways. A345592

Numbers that are the sum of nine fourth powers in nine or more ways. A345593

Numbers that are the sum of nine fourth powers in exactly nine ways. A345851

a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero n-gonal pyramidal numbers in exactly n ways, or 0 if no such integer exists. A350210

Anagrasum integers: integers N that exactly reproduce their set of digits when we form the set of sums of pairs of adjacent digits. A296521

Denominators of continued fraction convergents to sqrt(871). A42683

Coordination sequence for α-Mn, Position Mn1. A9950

Numbers k such that the continued fraction for sqrt(k) has period 86. A20425