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345635634013 is a prime number
BaseRepresentation
bin1010000011110010111…
…11010011101101011101
31020001010221102102202021
411001321133103231131
521130330210242023
6422441031100141
733654113262115
oct5017137235535
91201127372667
10345635634013
1112364633960a
1256ba0811651
1326793633b47
1412a2bd92045
158ecdd0835d
hex50797d3b5d

345635634013 has 2 divisors, whose sum is σ = 345635634014. Its totient is φ = 345635634012.

The previous prime is 345635633969. The next prime is 345635634037. The reversal of 345635634013 is 310436536543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314700804324 + 30934829689 = 560982^2 + 175883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-345635634013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (345635634083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172817817006 + 172817817007.

It is an arithmetic number, because the mean of its divisors is an integer number (172817817007).

Almost surely, 2345635634013 is an apocalyptic number.

It is an amenable number.

345635634013 is a deficient number, since it is larger than the sum of its proper divisors (1).

345635634013 is an equidigital number, since it uses as much as digits as its factorization.

345635634013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1166400, while the sum is 43.

The spelling of 345635634013 in words is "three hundred forty-five billion, six hundred thirty-five million, six hundred thirty-four thousand, thirteen".