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12013120349 is a prime number
BaseRepresentation
bin10110011000000100…
…11010101101011101
31011000012210202002022
423030002122231131
5144100324322344
65304014505525
7603460560326
oct131402325535
934005722068
1012013120349
11510510313a
1223b32052a5
131195aa9749
1481d67544d
154a49b30ee
hex2cc09ab5d

12013120349 has 2 divisors, whose sum is σ = 12013120350. Its totient is φ = 12013120348.

The previous prime is 12013120333. The next prime is 12013120351. The reversal of 12013120349 is 94302131021.

12013120349 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., 11142280249 + 870840100 = 105557^2 + 29510^2 .

It is a cyclic number.

It is not a de Polignac number, because 12013120349 - 24 = 12013120333 is a prime.

Together with 12013120351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12013120319) 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, 6006560174 + 6006560175.

It is an arithmetic number, because the mean of its divisors is an integer number (6006560175).

Almost surely, 212013120349 is an apocalyptic number.

It is an amenable number.

12013120349 is a deficient number, since it is larger than the sum of its proper divisors (1).

12013120349 is an equidigital number, since it uses as much as digits as its factorization.

12013120349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 12013120349 in words is "twelve billion, thirteen million, one hundred twenty thousand, three hundred forty-nine".