Properties of the Number 10109

Ten Thousand One Hundred Nine

Basics

Value: 10108 → 10109 → 10110

Parity: odd

Prime: No

Previous Prime: 10103

Next Prime: 10111

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 11 × 919

Divisors: 1, 11, 919, 10109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101111101

Octal: 23575

Duodecimal: 5A25

Hexadecimal: 277d

Square: 102191881

Square Root: 100.54352291420865

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

Values of n such that L(20) and N(20) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227523

Number of compositions (ordered partitions) of n into distinct parts >= 2. A32022

Number of fixed-point-free permutation groups of degree n. A637

Number of integer partitions of n with reverse-alternating sum equal to the reverse-alternating sum of their conjugate. A345196

Positions of ones in A264977; positions of twos in A277330. A277701

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203787

a(n) = ∑_i=0..n digsum₈(i)³, where digsum₈(i) = A053829(i). A231682

Number of inequivalent (ordered) solutions to n² = sum of 7 squares of integers >= 0. A65461

a(n) = 28·n² + 1. A158556

Number of scalene triangles, distinct up to congruence, on an n X n grid (or geoboard). A190313