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13221012241 is a prime number
BaseRepresentation
bin11000101000000100…
…01010001100010001
31021010101200000021001
430110002022030101
5204034034342431
610023524102001
7645425515123
oct142402121421
937111600231
1013221012241
115674a0a1a8
12268b834901
131329105088
148d5c5b213
15525a5be61
hex31408a311

13221012241 has 2 divisors, whose sum is σ = 13221012242. Its totient is φ = 13221012240.

The previous prime is 13221012199. The next prime is 13221012263. The reversal of 13221012241 is 14221012231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12320112016 + 900900225 = 110996^2 + 30015^2 .

It is an emirp because it is prime and its reverse (14221012231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13221012241 - 29 = 13221011729 is a prime.

It is not a weakly prime, because it can be changed into another prime (13221012271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610506120 + 6610506121.

It is an arithmetic number, because the mean of its divisors is an integer number (6610506121).

Almost surely, 213221012241 is an apocalyptic number.

It is an amenable number.

13221012241 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221012241 is an equidigital number, since it uses as much as digits as its factorization.

13221012241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13221012241 its reverse (14221012231), we get a palindrome (27442024472).

The spelling of 13221012241 in words is "thirteen billion, two hundred twenty-one million, twelve thousand, two hundred forty-one".