Properties of the Number 20100

Twenty Thousand One Hundred

Basics

Value: 20099 → 20100 → 20101

Parity: even

Prime: No

Previous Prime: 20089

Next Prime: 20101

Digit Sum: 3

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 ² × 67

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100111010000100

Octal: 47204

Duodecimal: B770

Hexadecimal: 4e84

Square: 404010000

Square Root: 141.77446878757826

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

Triangular numbers composed of digits {0,1,2}. A119033

Numbers whose sum of digits is 3. A52217

Smallest triangular number containing exactly n 0's. A36517

First differences of (n+1)⁵-n⁵. A68236

Numbers k such that the average digit of k² is 1. A164771

Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent 4-cycles (0 <= k <= floor(n/4)), i.e., having k cycles of the form (i, i+1, i+2, i+3). A177252

Expansion of ∏_k>=1 1/(1-x^3·k-1)^3·k-1. A262946

a(n) is the concatenation of n and 5n. A19553

Concatenate the positions of digits 9, 8,..., 0 in the decimal representation of n, using 1 for the leftmost digit etc., and 0 when the digit does not occur. A260522

Triangular numbers with sum of digits = 3. A68127