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13531330193 is a prime number
BaseRepresentation
bin11001001101000011…
…11011011010010001
31021221000120210110112
430212201323122101
5210203010031233
610114411211105
7656214260153
oct144641733221
937830523415
1013531330193
1158140a0717
122757746a95
1313784a6374
14925158ad3
15542e08048
hex32687b691

13531330193 has 2 divisors, whose sum is σ = 13531330194. Its totient is φ = 13531330192.

The previous prime is 13531330159. The next prime is 13531330247. The reversal of 13531330193 is 39103313531.

13531330193 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., 8959947649 + 4571382544 = 94657^2 + 67612^2 .

It is a cyclic number.

It is not a de Polignac number, because 13531330193 - 210 = 13531329169 is a prime.

It is not a weakly prime, because it can be changed into another prime (13531630193) 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, 6765665096 + 6765665097.

It is an arithmetic number, because the mean of its divisors is an integer number (6765665097).

Almost surely, 213531330193 is an apocalyptic number.

It is an amenable number.

13531330193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13531330193 is an equidigital number, since it uses as much as digits as its factorization.

13531330193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10935, while the sum is 32.

The spelling of 13531330193 in words is "thirteen billion, five hundred thirty-one million, three hundred thirty thousand, one hundred ninety-three".