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13007231 is a prime number
BaseRepresentation
bin110001100111…
…100101111111
3220110211120022
4301213211333
511312212411
61142442355
7215362646
oct61474577
926424508
1013007231
117384586
1244333bb
1329055b3
141a2835d
15121dedb
hexc6797f

13007231 has 2 divisors, whose sum is σ = 13007232. Its totient is φ = 13007230.

The previous prime is 13007221. The next prime is 13007233. The reversal of 13007231 is 13270031.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13007231 is a prime.

It is a super-2 number, since 2×130072312 = 338376116574722, which contains 22 as substring.

Together with 13007233, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13007233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503615 + 6503616.

It is an arithmetic number, because the mean of its divisors is an integer number (6503616).

Almost surely, 213007231 is an apocalyptic number.

13007231 is a deficient number, since it is larger than the sum of its proper divisors (1).

13007231 is an equidigital number, since it uses as much as digits as its factorization.

13007231 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13007231 is about 3606.5538953411. The cubic root of 13007231 is about 235.1770568481.

Adding to 13007231 its reverse (13270031), we get a palindrome (26277262).

The spelling of 13007231 in words is "thirteen million, seven thousand, two hundred thirty-one".