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34024642013 is a prime number
BaseRepresentation
bin11111101100000001…
…101101010111011101
310020211020100220022102
4133230001231113131
51024140302021023
623344122054445
72313106454015
oct375401552735
9106736326272
1034024642013
111348002915a
12671694a425
133293133a8b
14190ab74c45
15d4211a628
hex7ec06d5dd

34024642013 has 2 divisors, whose sum is σ = 34024642014. Its totient is φ = 34024642012.

The previous prime is 34024641979. The next prime is 34024642031. The reversal of 34024642013 is 31024642043.

Together with next prime (34024642031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28858195129 + 5166446884 = 169877^2 + 71878^2 .

It is a cyclic number.

It is not a de Polignac number, because 34024642013 - 28 = 34024641757 is a prime.

It is a super-2 number, since 2×340246420132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34024642513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17012321006 + 17012321007.

It is an arithmetic number, because the mean of its divisors is an integer number (17012321007).

Almost surely, 234024642013 is an apocalyptic number.

It is an amenable number.

34024642013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34024642013 is an equidigital number, since it uses as much as digits as its factorization.

34024642013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

The spelling of 34024642013 in words is "thirty-four billion, twenty-four million, six hundred forty-two thousand, thirteen".