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888889000000013 is a prime number
BaseRepresentation
bin1100101000011100001001100…
…1000101101111101000001101
311022120021221212202002211210022
43022013002121011233220031
51413002024133000000023
612430301545205551525
7355142053030242365
oct31207023105575015
94276257782084708
10888889000000013
11238255787236681
12838407877155a5
132c1cab4708361c
14119706585db9a5
156cb70995987c8
hex328709916fa0d

888889000000013 has 2 divisors, whose sum is σ = 888889000000014. Its totient is φ = 888889000000012.

The previous prime is 888888999999989. The next prime is 888889000000087. The reversal of 888889000000013 is 310000000988888.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 887474962708324 + 1414037291689 = 29790518^2 + 1189133^2 .

It is a cyclic number.

It is not a de Polignac number, because 888889000000013 - 228 = 888888731564557 is a prime.

It is a super-2 number, since 2×8888890000000132 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 888888999999892 and 888888999999901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (888889000000513) 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, 444444500000006 + 444444500000007.

It is an arithmetic number, because the mean of its divisors is an integer number (444444500000007).

Almost surely, 2888889000000013 is an apocalyptic number.

It is an amenable number.

888889000000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

888889000000013 is an equidigital number, since it uses as much as digits as its factorization.

888889000000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 884736, while the sum is 53.

The spelling of 888889000000013 in words is "eight hundred eighty-eight trillion, eight hundred eighty-nine billion, thirteen", and thus it is an aban number.