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12232433329 is a prime number
BaseRepresentation
bin10110110010001110…
…00001111010110001
31011120111110222221021
423121013001322301
5200023000331304
65341451255441
7612062652634
oct133107017261
934514428837
1012232433329
115207987236
12245474a581
1311cc36653c
14840843c1b
154b8d84a54
hex2d91c1eb1

12232433329 has 2 divisors, whose sum is σ = 12232433330. Its totient is φ = 12232433328.

The previous prime is 12232433261. The next prime is 12232433341. The reversal of 12232433329 is 92333423221.

12232433329 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., 10040040000 + 2192393329 = 100200^2 + 46823^2 .

It is a cyclic number.

It is not a de Polignac number, because 12232433329 - 231 = 10084949681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12232433294 and 12232433303.

It is not a weakly prime, because it can be changed into another prime (12232433429) 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, 6116216664 + 6116216665.

It is an arithmetic number, because the mean of its divisors is an integer number (6116216665).

Almost surely, 212232433329 is an apocalyptic number.

It is an amenable number.

12232433329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12232433329 is an equidigital number, since it uses as much as digits as its factorization.

12232433329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 34.

The spelling of 12232433329 in words is "twelve billion, two hundred thirty-two million, four hundred thirty-three thousand, three hundred twenty-nine".