Properties of the Number 20113

Twenty Thousand One Hundred Thirteen

Basics

Value: 20112 → 20113 → 20114

Parity: odd

Prime: Yes

Previous Prime: 20107

Next Prime: 20117

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 20113

Divisors: 1, 20113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111010010001

Octal: 47221

Duodecimal: B781

Hexadecimal: 4e91

Square: 404532769

Square Root: 141.82030884185804

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 parts disjoint from first differences of parts, meaning no part is the difference of two consecutive parts. A363260

Number of subsets of {1..n} containing all of their integer quotients. A326023

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466]. A78852

Primes whose sum of digits is 7. A62337

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly two different ways, and new values 0..1 introduced in row major order. A204867

Primes whose decimal representation is a valid number in base 5 and interpreted as such is again a prime. A90708

Largest prime factor of 11ⁿ+1 (A034524). A62308

Primes of the form x² + 1848·y². A139668

Primes p such that p+2⁴, p+2⁶ and p+2⁸ are all primes. A269257

Largest prime factor of 11ⁿ - 1. A274910