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12133121233 is a prime number
BaseRepresentation
bin10110100110011000…
…01011110011010001
31011022120121102100111
423103030023303101
5144322034334413
65323542521321
7606445554202
oct132314136321
934276542314
1012133121233
115166915622
122427436241
1311b4903b9c
148315915a9
154b02b8d3d
hex2d330bcd1

12133121233 has 2 divisors, whose sum is σ = 12133121234. Its totient is φ = 12133121232.

The previous prime is 12133121183. The next prime is 12133121237. The reversal of 12133121233 is 33212133121.

12133121233 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., 11644136464 + 488984769 = 107908^2 + 22113^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133121233 - 233 = 3543186641 is a prime.

It is not a weakly prime, because it can be changed into another prime (12133121237) 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, 6066560616 + 6066560617.

It is an arithmetic number, because the mean of its divisors is an integer number (6066560617).

Almost surely, 212133121233 is an apocalyptic number.

It is an amenable number.

12133121233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133121233 is an equidigital number, since it uses as much as digits as its factorization.

12133121233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

Adding to 12133121233 its reverse (33212133121), we get a palindrome (45345254354).

The spelling of 12133121233 in words is "twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, two hundred thirty-three".