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12133320097 is a prime number
BaseRepresentation
bin10110100110011001…
…11100010110100001
31011022120222112010211
423103030330112201
5144322112220342
65323551054121
7606450343033
oct132314742641
934276875124
1012133320097
115166a40a78
122427511341
1311b4973562
14831603c53
154b0307c17
hex2d333c5a1

12133320097 has 2 divisors, whose sum is σ = 12133320098. Its totient is φ = 12133320096.

The previous prime is 12133320083. The next prime is 12133320103. The reversal of 12133320097 is 79002333121.

It is a happy number.

12133320097 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., 11681502561 + 451817536 = 108081^2 + 21256^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133320097 - 231 = 9985836449 is a prime.

It is not a weakly prime, because it can be changed into another prime (12133320007) 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, 6066660048 + 6066660049.

It is an arithmetic number, because the mean of its divisors is an integer number (6066660049).

Almost surely, 212133320097 is an apocalyptic number.

It is an amenable number.

12133320097 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133320097 is an equidigital number, since it uses as much as digits as its factorization.

12133320097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 12133320097 in words is "twelve billion, one hundred thirty-three million, three hundred twenty thousand, ninety-seven".