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12300331133 is a prime number
BaseRepresentation
bin10110111010010100…
…00010100001111101
31011202020020120012202
423131022002201331
5200142341044013
65352314441245
7613546042466
oct133512024175
934666216182
1012300331133
115242241922
122473433225
13121044a25c
14849879d6d
154bece7858
hex2dd28287d

12300331133 has 2 divisors, whose sum is σ = 12300331134. Its totient is φ = 12300331132.

The previous prime is 12300331129. The next prime is 12300331189. The reversal of 12300331133 is 33113300321.

12300331133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8468968729 + 3831362404 = 92027^2 + 61898^2 .

It is a cyclic number.

It is not a de Polignac number, because 12300331133 - 22 = 12300331129 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12300331733) 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, 6150165566 + 6150165567.

It is an arithmetic number, because the mean of its divisors is an integer number (6150165567).

Almost surely, 212300331133 is an apocalyptic number.

It is an amenable number.

12300331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12300331133 is an equidigital number, since it uses as much as digits as its factorization.

12300331133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 12300331133 its reverse (33113300321), we get a palindrome (45413631454).

The spelling of 12300331133 in words is "twelve billion, three hundred million, three hundred thirty-one thousand, one hundred thirty-three".