Properties of the Number 80100

Eighty Thousand One Hundred

Basics

Value: 80099 → 80100 → 80101

Parity: even

Prime: No

Previous Prime: 80077

Next Prime: 80107

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 ² × 89

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011100011100100

Octal: 234344

Duodecimal: 3A430

Hexadecimal: 138e4

Square: 6416010000

Square Root: 283.0194339616981

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

Numbers k such that the concatenation of k with 4·k gives a square. A115535

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A213109. A384802

Consider the family of multigraphs enriched by the species of linear order. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n edges, arcs and loops. A98288

Number of colored labeled n-node graphs with 2 interchangeable colors. A684

Number of labeled graded partially ordered sets with n elements of height at most 1. A1831

a(n) = 2^{number of 0's in binary representation of n}. A80100

Number of labeled connected bipartite graphs on n nodes. A1832

Number of board-pile polyominoes with n cells. A1169

Number of labeled graded partially ordered sets with n elements. A1833

Array read by antidiagonals: T(n,k) = n! * ∑_s 2^{∑_i=1..k-1 s(i}*s(i+1))/(∏_i=1..k s(i)!) where the sum is over all nonnegative compositions s of n into k parts. A361950