Properties of the Number 45101

Forty-Five Thousand One Hundred One

Basics

Value: 45100 → 45101 → 45102

Parity: odd

Prime: No

Previous Prime: 45083

Next Prime: 45119

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 × 17 × 379

Divisors: 1, 7, 17, 119, 379, 2653, 6443, 45101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000000101101

Octal: 130055

Duodecimal: 22125

Hexadecimal: b02d

Square: 2034100201

Square Root: 212.36996021094885

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

Integers that can be expressed as the sum of consecutive primes in exactly 5 ways. A55000

Number of partitions of 2·n into distinct parts with exactly two odd parts. A96914

Integers expressible as the sum of (at least two) consecutive primes in at least 5 ways. A67375

a(n) = 2·a(n-1) + 2·a(n-2) + a([n/2]), where a(0) = 1, a(1) = 1, a(2) = 1. A298417

Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 3 array. A219768

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 950", based on the 5-celled von Neumann neighborhood. A273829

T(n,k)=Number of (n+6)X(k+6) 0..1 matrices with each 7X7 subblock idempotent. A224588

Numbers whose base-4 representation contains exactly three 1's and one 2. A45101