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13012420181 is a prime number
BaseRepresentation
bin11000001111001100…
…11100011001010101
31020120212011102202012
430013212130121111
5203122134421211
65551113154005
7640313514035
oct140746343125
936525142665
1013012420181
115578198972
1226319bb905
1312c4b30017
148b627d8c5
155125a6d8b
hex30799c655

13012420181 has 2 divisors, whose sum is σ = 13012420182. Its totient is φ = 13012420180.

The previous prime is 13012420139. The next prime is 13012420207. The reversal of 13012420181 is 18102421031.

13012420181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11857032100 + 1155388081 = 108890^2 + 33991^2 .

It is an emirp because it is prime and its reverse (18102421031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13012420181 - 214 = 13012403797 is a prime.

It is a super-2 number, since 2×130124201812 (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 (13012420111) 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, 6506210090 + 6506210091.

It is an arithmetic number, because the mean of its divisors is an integer number (6506210091).

Almost surely, 213012420181 is an apocalyptic number.

It is an amenable number.

13012420181 is a deficient number, since it is larger than the sum of its proper divisors (1).

13012420181 is an equidigital number, since it uses as much as digits as its factorization.

13012420181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 13012420181 in words is "thirteen billion, twelve million, four hundred twenty thousand, one hundred eighty-one".