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10827978013 is a prime number
BaseRepresentation
bin10100001010110010…
…11101010100011101
31000221121202021102201
422011121131110131
5134133430244023
64550241051501
7532220203006
oct120531352435
930847667381
1010827978013
114657125166
122122326b91
1310373b7ba8
1474a0d21ad
1543590ebad
hex28565d51d

10827978013 has 2 divisors, whose sum is σ = 10827978014. Its totient is φ = 10827978012.

The previous prime is 10827977999. The next prime is 10827978047. The reversal of 10827978013 is 31087972801.

10827978013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10803107844 + 24870169 = 103938^2 + 4987^2 .

It is an emirp because it is prime and its reverse (31087972801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10827978013 - 25 = 10827977981 is a prime.

It is a super-2 number, since 2×108279780132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10827978053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5413989006 + 5413989007.

It is an arithmetic number, because the mean of its divisors is an integer number (5413989007).

Almost surely, 210827978013 is an apocalyptic number.

It is an amenable number.

10827978013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10827978013 is an equidigital number, since it uses as much as digits as its factorization.

10827978013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 10827978013 in words is "ten billion, eight hundred twenty-seven million, nine hundred seventy-eight thousand, thirteen".