Properties of the Number 10135

Ten Thousand One Hundred Thirty-Five

Basics

Value: 10134 → 10135 → 10136

Parity: odd

Prime: No

Previous Prime: 10133

Next Prime: 10139

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 2027

Divisors: 1, 5, 2027, 10135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110010111

Octal: 23627

Duodecimal: 5A47

Hexadecimal: 2797

Square: 102718225

Square Root: 100.67273712381123

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

Number of integer partitions of n having no permutation with all equal run-sums. A383096

Sums of five consecutive squares: a(n) = n² + (n+1)² + (n+2)² + (n+3)² + (n+4)². A27578

Number of partitions of n where the difference between consecutive parts is at most 8. A238868

T(n,k) = Number of strings of n+2 numbers x(i) in -k..k with the sum of x(i) equal to zero and the sums of x(i)*x(i+1) and x(i)*x(i+2) equal to each other. A184061

Riordan array (1/sqrt(1-4·x), (1/sqrt(1-4·x)-1)/2). A116395

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300966

Semiprimes p such that next semiprime after p is p + 10. A217030

Number of (unordered) ways of making change for n cents using coins of 1/2, 1, 2, 3, 5, 10, 20, 25, 50, 100 cents (all historical U.S.A. coinage denominations up to 100 cents). A67997

Where records occur in A117831. A118474

G.f.: ∑_k>=1 (k³ * x^k² / ∏_j=1..k (1 - x^j)). A333151