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10068814013 is a prime number
BaseRepresentation
bin10010110000010010…
…11110100010111101
3221222201020202012112
421120021132202331
5131110104022023
64343041343405
7504341335616
oct113011364275
927881222175
1010068814013
1142a7645aa5
121b50037b65
13c4603221b
146b7356c0d
153dde52478
hex25825e8bd

10068814013 has 2 divisors, whose sum is σ = 10068814014. Its totient is φ = 10068814012.

The previous prime is 10068813971. The next prime is 10068814057. The reversal of 10068814013 is 31041886001.

It is a happy number.

10068814013 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., 8121974884 + 1946839129 = 90122^2 + 44123^2 .

It is a cyclic number.

It is not a de Polignac number, because 10068814013 - 28 = 10068813757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10068814073) 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, 5034407006 + 5034407007.

It is an arithmetic number, because the mean of its divisors is an integer number (5034407007).

Almost surely, 210068814013 is an apocalyptic number.

It is an amenable number.

10068814013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10068814013 is an equidigital number, since it uses as much as digits as its factorization.

10068814013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10068814013 in words is "ten billion, sixty-eight million, eight hundred fourteen thousand, thirteen".