Properties of the Number 10123

Ten Thousand One Hundred Twenty-Three

Basics

Value: 10122 → 10123 → 10124

Parity: odd

Prime: No

Previous Prime: 10111

Next Prime: 10133

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 53 × 191

Divisors: 1, 53, 191, 10123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110001011

Octal: 23613

Duodecimal: 5A37

Hexadecimal: 278b

Square: 102475129

Square Root: 100.61312041677269

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

Half the number of 3 X n binary arrays with no path of adjacent 1's or adjacent 0's from top to bottom or side to side. A69448

Primeval numbers: numbers that set a record for the number of distinct primes that can be obtained by permuting some subset of their digits. A72857

Coefficients of monic irreducible polynomials over GF(4) listed in lexicographic order. A58948

Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order. A58952

Coefficients of monic primitive irreducible polynomials over GF(5) listed in lexicographic order. A58950

G.f.: ∑_n>=0 xⁿ * ∏_k=1..n (1+x^k)/(1-x^k). A207641

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A240460

Least number whose digits can be used to form exactly n different primes (not necessarily using all digits). A76449

Smallest number of each digital type. A266946

Coefficient of q²ⁿ in the series expansion of Ramanujan's mock θ function f(q). A39