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12333330329 is a prime number
BaseRepresentation
bin10110111110001111…
…11010111110011001
31011211112100002121012
423133013322332121
5200224313032304
65355454023305
7614426402165
oct133707727631
934745302535
1012333330329
115259930691
1224824a7b35
1312172323c8
1484ddc9ca5
154c2b6516e
hex2df1faf99

12333330329 has 2 divisors, whose sum is σ = 12333330330. Its totient is φ = 12333330328.

The previous prime is 12333330223. The next prime is 12333330341. The reversal of 12333330329 is 92303333321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12295483225 + 37847104 = 110885^2 + 6152^2 .

It is a cyclic number.

It is not a de Polignac number, because 12333330329 - 212 = 12333326233 is a prime.

It is a super-2 number, since 2×123333303292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12333330295 and 12333330304.

It is not a weakly prime, because it can be changed into another prime (12333330929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6166665164 + 6166665165.

It is an arithmetic number, because the mean of its divisors is an integer number (6166665165).

Almost surely, 212333330329 is an apocalyptic number.

It is an amenable number.

12333330329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12333330329 is an equidigital number, since it uses as much as digits as its factorization.

12333330329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 32.

The spelling of 12333330329 in words is "twelve billion, three hundred thirty-three million, three hundred thirty thousand, three hundred twenty-nine".