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13222244241 = 321786419897
BaseRepresentation
bin11000101000001101…
…10110111110010001
31021010110222121020200
430110012312332101
5204034343303431
610024010325413
7645442136013
oct142406667621
937113877220
1013222244241
115675680888
122690129869
131329446a7b
148d609c1b3
15525c01ee6
hex3141b6f91

13222244241 has 12 divisors (see below), whose sum is σ = 20222256132. Its totient is φ = 8296310016.

The previous prime is 13222244239. The next prime is 13222244251. The reversal of 13222244241 is 14244222231.

It is a happy number.

13222244241 is a `hidden beast` number, since 13 + 2 + 2 + 224 + 424 + 1 = 666.

13222244241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11534760000 + 1687484241 = 107400^2 + 41079^2 .

It is not a de Polignac number, because 13222244241 - 21 = 13222244239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13222244221) 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 in 11 ways as a sum of consecutive naturals, for example, 43209796 + ... + 43210101.

It is an arithmetic number, because the mean of its divisors is an integer number (1685188011).

Almost surely, 213222244241 is an apocalyptic number.

It is an amenable number.

13222244241 is a deficient number, since it is larger than the sum of its proper divisors (7000011891).

13222244241 is a wasteful number, since it uses less digits than its factorization.

13222244241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86419920 (or 86419917 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 13222244241 its reverse (14244222231), we get a palindrome (27466466472).

The spelling of 13222244241 in words is "thirteen billion, two hundred twenty-two million, two hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 86419897 259259691 777779073 1469138249 4407414747 13222244241