Properties of the Number 10149

Ten Thousand One Hundred Forty-Nine

Basics

Value: 10148 → 10149 → 10150

Parity: odd

Prime: No

Previous Prime: 10141

Next Prime: 10151

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 199

Divisors: 1, 3, 17, 51, 199, 597, 3383, 10149

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110100101

Octal: 23645

Duodecimal: 5A59

Hexadecimal: 27a5

Square: 103002201

Square Root: 100.74224535913422

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 the average digit of k² is 1. A164771

Numbers k such that 3 is the largest decimal digit of k². A277960

Number of maximal subsets of {1..n} containing n such that every subset has a different sum. A325867

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s. A296804

Numbers n such that m=(n²+1)/2, p=(m²+1)/2 and q=(p²+1)/2 are all prime. A188546

Expansion of a level 11 weight 7 multiplicative modular form in powers of q. A138661

Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and even nonnegative determinant. A211156

Number of partitions of n such that the (sum of distinct even parts) >= n/2. A284619

Number of partitions of n such that the (sum of distinct even parts) > n/2. A284618

Number of partitions of the n-th triangular number into exactly n positive triangular numbers. A338585