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12321022033 is a prime number
BaseRepresentation
bin10110111100110001…
…11110000001010001
31011210200011202210101
423132120332001101
5200213140201113
65354334132401
7614216650015
oct133630760121
934720152711
1012321022033
115252994241
12247a351101
131214812ca8
1484c504545
154c1a332dd
hex2de63e051

12321022033 has 2 divisors, whose sum is σ = 12321022034. Its totient is φ = 12321022032.

The previous prime is 12321022001. The next prime is 12321022037. The reversal of 12321022033 is 33022012321.

12321022033 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., 10373829904 + 1947192129 = 101852^2 + 44127^2 .

It is a cyclic number.

It is not a de Polignac number, because 12321022033 - 25 = 12321022001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12321022033.

It is not a weakly prime, because it can be changed into another prime (12321022037) 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, 6160511016 + 6160511017.

It is an arithmetic number, because the mean of its divisors is an integer number (6160511017).

Almost surely, 212321022033 is an apocalyptic number.

It is an amenable number.

12321022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12321022033 is an equidigital number, since it uses as much as digits as its factorization.

12321022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12321022033 its reverse (33022012321), we get a palindrome (45343034354).

The spelling of 12321022033 in words is "twelve billion, three hundred twenty-one million, twenty-two thousand, thirty-three".