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13000231 = 97223601
BaseRepresentation
bin110001100101…
…111000100111
3220110110222001
4301211320213
511312001411
61142350131
7215333356
oct61457047
926413861
1013000231
11737a2a2
12442b347
13290235a
141a2599d
15121bdc1
hexc65e27

13000231 has 8 divisors (see below), whose sum is σ = 13215104. Its totient is φ = 12787200.

The previous prime is 13000219. The next prime is 13000243. The reversal of 13000231 is 13200031.

13000231 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13000219) and next prime (13000243).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13000231 - 29 = 12999719 is a prime.

It is a super-2 number, since 2×130002312 = 338012012106722, which contains 22 as substring.

It is a Duffinian number.

13000231 is a modest number, since divided by 231 gives 13 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21331 + ... + 21931.

It is an arithmetic number, because the mean of its divisors is an integer number (1651888).

Almost surely, 213000231 is an apocalyptic number.

13000231 is a deficient number, since it is larger than the sum of its proper divisors (214873).

13000231 is an equidigital number, since it uses as much as digits as its factorization.

13000231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13000231 is about 3605.5833092580. The cubic root of 13000231 is about 235.1348614774.

Adding to 13000231 its reverse (13200031), we get a palindrome (26200262).

It can be divided in two parts, 13000 and 231, that added together give a palindrome (13231).

The spelling of 13000231 in words is "thirteen million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 97 223 601 21631 58297 134023 13000231