Properties of the Number 10181

Ten Thousand One Hundred Eighty-One

Basics

Value: 10180 → 10181 → 10182

Parity: odd

Prime: Yes

Previous Prime: 10177

Next Prime: 10193

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 10181

Divisors: 1, 10181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111000101

Octal: 23705

Duodecimal: 5A85

Hexadecimal: 27c5

Square: 103652761

Square Root: 100.90094152187085

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

Primes or negative values of primes in the sequence b(n) = 47·n² - 1701·n + 10181, n >= 0. A50267

Primes of the form x²+101y². A139489

Primes having only {0, 1, 8} as digits. A61247

Where the prime race among 11k+1, ..., 11k+10 changes leader. A297410

Primes which when added to their own rotation yield a prime. A86002

Primes p such that p1=Floor[p/2]+p is prime and p2=Ceiling[p1/2]+p1 is prime. A158712

Start with a single pentagon; at n-th generation add a pentagon at each expandable vertex (this is the "vertex to side" version); a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247904

Primes of the form 6·p - 1 such that p and 6·p - 5 are primes. A90609

Primes less than 100000 sorted lexicographically in decimal representation. A210760

Numbers k such that in k and k² the parity of digits alternates. A30153