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13353233301 = 322701754917
BaseRepresentation
bin11000110111110101…
…00010101110010101
31021110121110112110100
430123322202232111
5204321411431201
610045010044313
7651622416222
oct143372425625
937417415410
1013353233301
115732608901
122707b79699
13134a61a7a5
14909638949
15532478886
hex31bea2b95

13353233301 has 12 divisors (see below), whose sum is σ = 19289068812. Its totient is φ = 8901663936.

The previous prime is 13353233293. The next prime is 13353233323. The reversal of 13353233301 is 10333235331.

13353233301 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 323 + 330 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9866448900 + 3486784401 = 99330^2 + 59049^2 .

It is not a de Polignac number, because 13353233301 - 23 = 13353233293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353233371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215695 + ... + 270611.

It is an arithmetic number, because the mean of its divisors is an integer number (1607422401).

Almost surely, 213353233301 is an apocalyptic number.

It is an amenable number.

13353233301 is a deficient number, since it is larger than the sum of its proper divisors (5935835511).

13353233301 is a wasteful number, since it uses less digits than its factorization.

13353233301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81940 (or 81937 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

Adding to 13353233301 its reverse (10333235331), we get a palindrome (23686468632).

The spelling of 13353233301 in words is "thirteen billion, three hundred fifty-three million, two hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 27017 54917 81051 164751 243153 494253 1483692589 4451077767 13353233301