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34848000013 is a prime number
BaseRepresentation
bin100000011101000110…
…100100100000001101
310022221121122211011011
4200131012210200031
51032332042000023
624001533325221
72342365053451
oct403506444015
9108847584134
1034848000013
1113862873212
126906636811
1333948a4668
141988260661
15d8e55850d
hex81d1a480d

34848000013 has 2 divisors, whose sum is σ = 34848000014. Its totient is φ = 34848000012.

The previous prime is 34847999987. The next prime is 34848000041. The reversal of 34848000013 is 31000084843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28716013764 + 6131986249 = 169458^2 + 78307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34848000013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34848006013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17424000006 + 17424000007.

It is an arithmetic number, because the mean of its divisors is an integer number (17424000007).

Almost surely, 234848000013 is an apocalyptic number.

It is an amenable number.

34848000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34848000013 is an equidigital number, since it uses as much as digits as its factorization.

34848000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 34848000013 its reverse (31000084843), we get a palindrome (65848084856).

The spelling of 34848000013 in words is "thirty-four billion, eight hundred forty-eight million, thirteen", and thus it is an aban number.