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13520032193 is a prime number
BaseRepresentation
bin11001001011101101…
…10101000111000001
31021220020022210112002
430211312311013001
5210142112012233
610113325113345
7656016243323
oct144566650701
937806283462
1013520032193
115808784328
1227539b8855
13137604ba65
14923857613
15541e256e8
hex325db51c1

13520032193 has 2 divisors, whose sum is σ = 13520032194. Its totient is φ = 13520032192.

The previous prime is 13520032189. The next prime is 13520032277. The reversal of 13520032193 is 39123002531.

13520032193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7153268929 + 6366763264 = 84577^2 + 79792^2 .

It is a cyclic number.

It is not a de Polignac number, because 13520032193 - 22 = 13520032189 is a prime.

It is not a weakly prime, because it can be changed into another prime (13520032793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6760016096 + 6760016097.

It is an arithmetic number, because the mean of its divisors is an integer number (6760016097).

Almost surely, 213520032193 is an apocalyptic number.

It is an amenable number.

13520032193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13520032193 is an equidigital number, since it uses as much as digits as its factorization.

13520032193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 29.

The spelling of 13520032193 in words is "thirteen billion, five hundred twenty million, thirty-two thousand, one hundred ninety-three".