Properties of the Number 83122

Eighty-Three Thousand One Hundred Twenty-Two

Basics

Value: 83121 → 83122 → 83123

Parity: even

Prime: No

Previous Prime: 83117

Next Prime: 83137

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 13 × 23 × 139

Divisors: 1, 2, 13, 23, 26, 46, 139, 278, 299, 598

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010010110010

Octal: 242262

Duodecimal: 4012A

Hexadecimal: 144b2

Square: 6909266884

Square Root: 288.3088621600106

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

Partial sums of A299283. A299284

Number of permutations of degree n with barycenter 0. A62868

Triangle of number of permutations by barycenter. A62866

Triangle read by rows: entries give numbers of permutations of [1..n] by absolute barycenter. A62867

Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1 + 2·x - x²)^{n + 1}*∑_{j >= 0} (j+1)ⁿ*(-2·x + x²)^j. A156901

Number of tilings of a 4 X n rectangle using tetrominoes of shapes L, Z, O. A242636

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and equal numbers of elements moved upwards and downwards. A263744

a(1) = 1, then the smallest number not included earlier and not a string of 1's such that the concatenation a(n), a(n+1) is a palindrome. A83122