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10013613193 is a prime number
BaseRepresentation
bin10010101001101101…
…11001110010001001
3221211212101020220201
421110312321302021
5131001441110233
64333350252201
7503101210363
oct112466716211
927755336821
1010013613193
114279472891
121b35657061
13c3777580c
146adca7d33
153d919b77d
hex254db9c89

10013613193 has 2 divisors, whose sum is σ = 10013613194. Its totient is φ = 10013613192.

The previous prime is 10013613151. The next prime is 10013613283. The reversal of 10013613193 is 39131631001.

10013613193 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., 9033171849 + 980441344 = 95043^2 + 31312^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013613193 - 233 = 1423678601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10013613133) 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, 5006806596 + 5006806597.

It is an arithmetic number, because the mean of its divisors is an integer number (5006806597).

Almost surely, 210013613193 is an apocalyptic number.

It is an amenable number.

10013613193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013613193 is an equidigital number, since it uses as much as digits as its factorization.

10013613193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The spelling of 10013613193 in words is "ten billion, thirteen million, six hundred thirteen thousand, one hundred ninety-three".