Properties of the Number 12151

Twelve Thousand One Hundred Fifty-One

Basics

Value: 12150 → 12151 → 12152

Parity: odd

Prime: No

Previous Prime: 12149

Next Prime: 12157

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 29 × 419

Divisors: 1, 29, 419, 12151

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101110111

Octal: 27567

Duodecimal: 7047

Hexadecimal: 2f77

Square: 147646801

Square Root: 110.2315744240279

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

Positive numbers for which the sum of digits equals the product of digits. A34710

Number of separable integer partitions of n without an alternating permutation. A345166

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250632

Total number of occurrences of k in the (signed) displacement sets of all permutations of [n+k] divided by k!; square array A(n,k), n>=0, k>=0, read by antidiagonals. A324362

Number of partitions of n such that 2*(least part) < greatest part. A237820

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically. A207488

a(n) = 6·n² + 1. A227776

a(n) = 4·n³ - 6·n² + 1. A141530

a(n) is smallest natural number a satisfying Pell equation a² - d(n)*b²= +1 or = -1, with d(n)=A000037(n) (a nonsquare). Corresponding smallest b(n)=A077233(n). A77232

Nonprimes whose sum of digits is equal to its product of digits. A66307