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839142013 is a prime number
BaseRepresentation
bin110010000001000…
…100101001111101
32011110222211102211
4302001010221331
53204310021023
6215133420421
726536406113
oct6201045175
92143884384
10839142013
113a07458a6
121b503a711
13104b09048
147d637ab3
154da09a0d
hex32044a7d

839142013 has 2 divisors, whose sum is σ = 839142014. Its totient is φ = 839142012.

The previous prime is 839141993. The next prime is 839142019. The reversal of 839142013 is 310241938.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 838797444 + 344569 = 28962^2 + 587^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-839142013 is a prime.

It is equal to p43053538 and since 839142013 and 43053538 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (839142019) 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, 419571006 + 419571007.

It is an arithmetic number, because the mean of its divisors is an integer number (419571007).

Almost surely, 2839142013 is an apocalyptic number.

It is an amenable number.

839142013 is a deficient number, since it is larger than the sum of its proper divisors (1).

839142013 is an equidigital number, since it uses as much as digits as its factorization.

839142013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 839142013 is about 28967.9480288128. The cubic root of 839142013 is about 943.2174389983.

The spelling of 839142013 in words is "eight hundred thirty-nine million, one hundred forty-two thousand, thirteen".