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400314030013 is a prime number
BaseRepresentation
bin1011101001101001001…
…00110101011110111101
31102021021120110202012001
411310310210311132331
523024320342430023
6503522434542301
740631104053262
oct5646444653675
91367246422161
10400314030013
11144854919837
1265700437991
132b99870c111
1415537b89269
15a62e2796ad
hex5d349357bd

400314030013 has 2 divisors, whose sum is σ = 400314030014. Its totient is φ = 400314030012.

The previous prime is 400314029963. The next prime is 400314030131. The reversal of 400314030013 is 310030413004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 397981816164 + 2332213849 = 630858^2 + 48293^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400314030013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400314034013) 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, 200157015006 + 200157015007.

It is an arithmetic number, because the mean of its divisors is an integer number (200157015007).

Almost surely, 2400314030013 is an apocalyptic number.

It is an amenable number.

400314030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

400314030013 is an equidigital number, since it uses as much as digits as its factorization.

400314030013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 400314030013 its reverse (310030413004), we get a palindrome (710344443017).

It can be divided in two parts, 400 and 314030013, that added together give a palindrome (314030413).

The spelling of 400314030013 in words is "four hundred billion, three hundred fourteen million, thirty thousand, thirteen".