Properties of the Number 50101

Fifty Thousand One Hundred One

Basics

Value: 50100 → 50101 → 50102

Parity: odd

Prime: Yes

Previous Prime: 50093

Next Prime: 50111

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 50101

Divisors: 1, 50101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001110110101

Octal: 141665

Duodecimal: 24BB1

Hexadecimal: c3b5

Square: 2510110201

Square Root: 223.8325266801052

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

Primes having only {0, 1, 5} as digits. A199325

Base-6 pandigital primes: primes having at least one of each digit 0,1,2,3,4,5 when written in base 6. A175278

Primes p where the digital sum of p² is equal to 13. A165492

a(1) = 2; a(n+1) is the smallest prime > a(n) which differs from it in every digit. A68853

Largest coefficient in expansion of (1 + x + x² + ... + x^n-1)⁵ = ((1-xⁿ)/(1-x))⁵, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n. A77044

Number of ordered quintuples (a,b,c,d,e), -n <= a,b,c,d,e <= n, such that a+b+c+d+e = 0. A83669

Primes formed by concatenating k and 2k+1. A309808

a(1) = 1; a(n+1) is the smallest number > a(n) which differs from it at every digit. A68860

Prime numbers ending in the prime number 101. A167626

Number of arrays of n integers in -8..8 with sum zero. A322538