Properties of the Number 12135

Twelve Thousand One Hundred Thirty-Five

Basics

Value: 12134 → 12135 → 12136

Parity: odd

Prime: No

Previous Prime: 12119

Next Prime: 12143

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 809

Divisors: 1, 3, 5, 15, 809, 2427, 4045, 12135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101100111

Octal: 27547

Duodecimal: 7033

Hexadecimal: 2f67

Square: 147258225

Square Root: 110.15897603009934

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 k² * 2^k + 1 is prime. A58780

(L)-sieve transform of {1,4,7,10,...,3n-2,...} (A016777). A152009

Every suffix prime and no 0 digits in base 6 (written in base 6). A24781

Number of partitions of n in which each odd part has odd multiplicity. A131942

a(n) is the number of 4 element sets of distinct integer sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units. A389392

Sequence is defined by property that binomial transform of (a0,a1,a2,a3,...) = (a0,a0,a0,a1,a1,a1,a2,a2,a2,a3,a3,a3,...). A51166

G.f. satisfies: A(x) = 1/(1 + x·A(x⁶)) and also the continued fraction: 1+x·A(x⁷) = [1;1/x,1/x⁶,1/x³⁶,1/x²¹⁶,...,1/x^{6^(n-1}),...]. A101916

a(n) = n*(27·n - 1)/2. A22284

Number of base 19 n-digit numbers with adjacent digits differing by one or less. A126373

Number of cycle-up-down permutations of {1,2,...,n} having no fixed points. A permutation is said to be cycle-up-down if it is a product of up-down cycles. A cycle (b(1), b(2), ...) is said to be up-down if, when written with its smallest element in the first position, it satisfies b(1)<b(2)>b(3)<... . A186364