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233797013 is a prime number
BaseRepresentation
bin11011110111101…
…11010110010101
3121021221010012122
431323313112111
5434323001023
635111025325
75536145642
oct1573672625
9537833178
10233797013
1110aa7717a
126636b245
133958b638
142309cdc9
15157d32c8
hexdef7595

233797013 has 2 divisors, whose sum is σ = 233797014. Its totient is φ = 233797012.

The previous prime is 233797007. The next prime is 233797127. The reversal of 233797013 is 310797332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188732644 + 45064369 = 13738^2 + 6713^2 .

It is a cyclic number.

It is not a de Polignac number, because 233797013 - 26 = 233796949 is a prime.

It is a super-2 number, since 2×2337970132 = 109322086575444338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233797813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116898506 + 116898507.

It is an arithmetic number, because the mean of its divisors is an integer number (116898507).

Almost surely, 2233797013 is an apocalyptic number.

It is an amenable number.

233797013 is a deficient number, since it is larger than the sum of its proper divisors (1).

233797013 is an equidigital number, since it uses as much as digits as its factorization.

233797013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 35.

The square root of 233797013 is about 15290.4222636263. The cubic root of 233797013 is about 616.0457788053.

The spelling of 233797013 in words is "two hundred thirty-three million, seven hundred ninety-seven thousand, thirteen".