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12330312209 is a prime number
BaseRepresentation
bin10110111101111000…
…11010001000010001
31011211022122202111222
423132330122020101
5200223024442314
65355305214425
7614361632045
oct133674321021
934738582458
1012330312209
11525815a076
122481491415
131216716737
1484d842025
154c276ac8e
hex2def1a211

12330312209 has 2 divisors, whose sum is σ = 12330312210. Its totient is φ = 12330312208.

The previous prime is 12330312151. The next prime is 12330312229. The reversal of 12330312209 is 90221303321.

12330312209 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., 12235678225 + 94633984 = 110615^2 + 9728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12330312209 is a prime.

It is not a weakly prime, because it can be changed into another prime (12330312229) 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, 6165156104 + 6165156105.

It is an arithmetic number, because the mean of its divisors is an integer number (6165156105).

Almost surely, 212330312209 is an apocalyptic number.

It is an amenable number.

12330312209 is a deficient number, since it is larger than the sum of its proper divisors (1).

12330312209 is an equidigital number, since it uses as much as digits as its factorization.

12330312209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 12330312209 in words is "twelve billion, three hundred thirty million, three hundred twelve thousand, two hundred nine".