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13221002221 = 717673165083
BaseRepresentation
bin11000101000000100…
…00111101111101101
31021010101122111111221
430110002013233231
5204034034032341
610023523543341
7645425443660
oct142402075755
937111574457
1013221002221
115674a02719
12268b82ab51
13132910064b
148d5c576d7
15525a58ed1
hex314087bed

13221002221 has 16 divisors (see below), whose sum is σ = 16022392704. Its totient is φ = 10649769984.

The previous prime is 13221002213. The next prime is 13221002273. The reversal of 13221002221 is 12220012231.

It is a happy number.

13221002221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13221002221 - 23 = 13221002213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221002195 and 13221002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221002281) 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 15 ways as a sum of consecutive naturals, for example, 2455 + ... + 162628.

It is an arithmetic number, because the mean of its divisors is an integer number (1001399544).

Almost surely, 213221002221 is an apocalyptic number.

It is an amenable number.

13221002221 is a deficient number, since it is larger than the sum of its proper divisors (2801390483).

13221002221 is a wasteful number, since it uses less digits than its factorization.

13221002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165780.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13221002221 its reverse (12220012231), we get a palindrome (25441014452).

The spelling of 13221002221 in words is "thirteen billion, two hundred twenty-one million, two thousand, two hundred twenty-one".

Divisors: 1 7 17 119 673 4711 11441 80087 165083 1155581 2806411 19644877 111100859 777706013 1888714603 13221002221