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13034010973 is a prime number
BaseRepresentation
bin11000010001110001…
…10011100101011101
31020122100210100202011
430020320303211131
5203143201322343
65553204031221
7640665156664
oct141070634535
936570710664
1013034010973
1155893a53a5
122639092511
1312c944c539
148b909dddb
1551441e29d
hex308e3395d

13034010973 has 2 divisors, whose sum is σ = 13034010974. Its totient is φ = 13034010972.

The previous prime is 13034010961. The next prime is 13034011031. The reversal of 13034010973 is 37901043031.

13034010973 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., 12931556089 + 102454884 = 113717^2 + 10122^2 .

It is a cyclic number.

It is not a de Polignac number, because 13034010973 - 225 = 13000456541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13034010923) 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, 6517005486 + 6517005487.

It is an arithmetic number, because the mean of its divisors is an integer number (6517005487).

Almost surely, 213034010973 is an apocalyptic number.

It is an amenable number.

13034010973 is a deficient number, since it is larger than the sum of its proper divisors (1).

13034010973 is an equidigital number, since it uses as much as digits as its factorization.

13034010973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 13034010973 in words is "thirteen billion, thirty-four million, ten thousand, nine hundred seventy-three".