Properties of the Number 18100

Eighteen Thousand One Hundred

Basics

Value: 18099 → 18100 → 18101

Parity: even

Prime: No

Previous Prime: 18097

Next Prime: 18119

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 ² × 181

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011010110100

Octal: 43264

Duodecimal: A584

Hexadecimal: 46b4

Square: 327610000

Square Root: 134.5362404707371

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

T(n,k)=Number of binary arrays of length n+2·k-1 with no more than k ones in any length 2k subsequence (=50% duty cycle). A212402

Non-palindromic numbers n such that n·reverse(n) is a square and n and reverse(n) do not have the same number of digits. A322835

Number of paraffins (see Losanitsch reference for precise definition). A6010

The common value of sigma₂ for square-amicable numbers, sigma₂(m)=sigma₂(n), m<n. A110929

Number of 2 X 2 matrices having all elements in {0,1,...,n} and determinant = 1 (mod 3). A211034

a(n) = ∑_d∣n d * (n/d)^d. A359103

a(n) = sigma₂(3·n). A283237

G.f. satisfies A(x) = 1 + x·A(x) + x⁴*A(x)³. A364552

Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice. A1386

Number of binary words of length n not containing the substrings 0000, 0001, 0011, 0111. A368430