Properties of the Number 80107

Eighty Thousand One Hundred Seven

Basics

Value: 80106 → 80107 → 80108

Parity: odd

Prime: Yes

Previous Prime: 80077

Next Prime: 80111

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 80107

Divisors: 1, 80107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100011101011

Octal: 234353

Duodecimal: 3A437

Hexadecimal: 138eb

Square: 6417131449

Square Root: 283.03180033346075

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

E.g.f. satisfies A(x) = exp( x * (1+x) * A(x) ). A362771

Primes where the first digit equals the sum of all the other digits. A156307

Primes of the form p² + 18, where p is prime. A201688

Number of fixed points of permutation of SetPartitions under {1,2,...,n}->{n,n-1,...,1}. Number of symmetric arrangements of non-attacking rooks on upper half of n X n chessboard. A80107

Primes that contain at least two different even digits and at least two different odd digits such that any permutation of the odd digits and any permutation of the even digits produces a prime. Permutations with leading 0's are disregarded; i.e., if permutations of even digits in a prime p produce a number with a leading 0 that is not prime, p is still in the sequence. A377564