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12330111329 is a prime number
BaseRepresentation
bin10110111101110111…
…01001000101100001
31011211022021112221222
423132323221011201
5200223002030304
65355301024425
7614360134304
oct133673510541
934738245858
1012330111329
115258032158
1224813b5115
131216676183
1484d7ccb3b
154c272b4be
hex2deee9161

12330111329 has 2 divisors, whose sum is σ = 12330111330. Its totient is φ = 12330111328.

The previous prime is 12330111323. The next prime is 12330111347. The reversal of 12330111329 is 92311103321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7455977104 + 4874134225 = 86348^2 + 69815^2 .

It is a cyclic number.

It is not a de Polignac number, because 12330111329 - 212 = 12330107233 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12330111298 and 12330111307.

It is not a weakly prime, because it can be changed into another prime (12330111323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165055664 + 6165055665.

It is an arithmetic number, because the mean of its divisors is an integer number (6165055665).

Almost surely, 212330111329 is an apocalyptic number.

It is an amenable number.

12330111329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12330111329 is an equidigital number, since it uses as much as digits as its factorization.

12330111329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 12330111329 in words is "twelve billion, three hundred thirty million, one hundred eleven thousand, three hundred twenty-nine".