Search a number
-
+
12312311329 is a prime number
BaseRepresentation
bin10110111011101111…
…01111011000100001
31011210001210012221201
423131313233120201
5200203422430304
65353423321201
7614052630253
oct133567573041
934701705851
1012312311329
115248a8480a
122477450201
131212a83226
1484b2b7cd3
154c0db23a4
hex2dddef621

12312311329 has 2 divisors, whose sum is σ = 12312311330. Its totient is φ = 12312311328.

The previous prime is 12312311299. The next prime is 12312311359. The reversal of 12312311329 is 92311321321.

It is a balanced prime because it is at equal distance from previous prime (12312311299) and next prime (12312311359).

It can be written as a sum of positive squares in only one way, i.e., 9336390625 + 2975920704 = 96625^2 + 54552^2 .

It is an emirp because it is prime and its reverse (92311321321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12312311329 - 213 = 12312303137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12312311297 and 12312311306.

It is not a weakly prime, because it can be changed into another prime (12312311359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156155664 + 6156155665.

It is an arithmetic number, because the mean of its divisors is an integer number (6156155665).

Almost surely, 212312311329 is an apocalyptic number.

It is an amenable number.

12312311329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12312311329 is an equidigital number, since it uses as much as digits as its factorization.

12312311329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 28.

The spelling of 12312311329 in words is "twelve billion, three hundred twelve million, three hundred eleven thousand, three hundred twenty-nine".