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13303310221 = 412572814493
BaseRepresentation
bin11000110001111000…
…00110011110001101
31021100010112011212101
430120330012132031
5204221121411341
610040024035101
7650445161665
oct143074063615
937303464771
1013303310221
11570740a963
1226b3302a91
13134018b3c6
14902b611a5
1552cdb6831
hex318f0678d

13303310221 has 16 divisors (see below), whose sum is σ = 13732549488. Its totient is φ = 12879462400.

The previous prime is 13303310213. The next prime is 13303310227. The reversal of 13303310221 is 12201330331.

13303310221 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 8 ways, for example, as 3067941321 + 10235368900 = 55389^2 + 101170^2 .

It is a cyclic number.

It is not a de Polignac number, because 13303310221 - 23 = 13303310213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303310227) 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, 2958651 + ... + 2963143.

It is an arithmetic number, because the mean of its divisors is an integer number (858284343).

Almost surely, 213303310221 is an apocalyptic number.

It is an amenable number.

13303310221 is a deficient number, since it is larger than the sum of its proper divisors (429239267).

13303310221 is a wasteful number, since it uses less digits than its factorization.

13303310221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13303310221 its reverse (12201330331), we get a palindrome (25504640552).

The spelling of 13303310221 in words is "thirteen billion, three hundred three million, three hundred ten thousand, two hundred twenty-one".

Divisors: 1 41 257 281 4493 10537 11521 72217 184213 1154701 1262533 2960897 47342741 51763853 324470981 13303310221