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34012645013 is a prime number
BaseRepresentation
bin11111101011010011…
…111100011010010101
310020210101210101112002
4133223103330122111
51024124214120023
623343013005045
72312602466234
oct375323743225
9106711711462
1034012645013
1113474284686
126712923785
1332907c3269
141909330b1b
15d4104ab28
hex7eb4fc695

34012645013 has 2 divisors, whose sum is σ = 34012645014. Its totient is φ = 34012645012.

The previous prime is 34012645003. The next prime is 34012645061. The reversal of 34012645013 is 31054621043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33577630564 + 435014449 = 183242^2 + 20857^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34012645013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34012645003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006322506 + 17006322507.

It is an arithmetic number, because the mean of its divisors is an integer number (17006322507).

Almost surely, 234012645013 is an apocalyptic number.

It is an amenable number.

34012645013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34012645013 is an equidigital number, since it uses as much as digits as its factorization.

34012645013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 34012645013 in words is "thirty-four billion, twelve million, six hundred forty-five thousand, thirteen".