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13320320301 = 3217413376301
BaseRepresentation
bin11000110011111001…
…11111010100101101
31021101022112101022100
430121330333110231
5204240000222201
610041432405313
7651042566031
oct143174772455
937338471270
1013320320301
115715a78882
1226b8b46839
131343865942
1490510c1c1
1552e626886
hex319f3f52d

13320320301 has 48 divisors (see below), whose sum is σ = 20934386928. Its totient is φ = 8128512000.

The previous prime is 13320320297. The next prime is 13320320341. The reversal of 13320320301 is 10302302331.

13320320301 is a `hidden beast` number, since 1 + 332 + 0 + 32 + 0 + 301 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 500193225 + 12820127076 = 22365^2 + 113226^2 .

It is not a de Polignac number, because 13320320301 - 22 = 13320320297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320320341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110851 + ... + 2117151.

It is an arithmetic number, because the mean of its divisors is an integer number (436133061).

Almost surely, 213320320301 is an apocalyptic number.

It is an amenable number.

13320320301 is a deficient number, since it is larger than the sum of its proper divisors (7614066627).

13320320301 is a wasteful number, since it uses less digits than its factorization.

13320320301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6702 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13320320301 its reverse (10302302331), we get a palindrome (23622622632).

The spelling of 13320320301 in words is "thirteen billion, three hundred twenty million, three hundred twenty thousand, three hundred one".

Divisors: 1 3 9 17 41 51 123 153 337 369 697 1011 2091 3033 5729 6273 6301 13817 17187 18903 41451 51561 56709 107117 124353 234889 258341 321351 704667 775023 964053 2114001 2123437 2325069 4391797 6370311 13175391 19110933 36098429 39526173 87060917 108295287 261182751 324885861 783548253 1480035589 4440106767 13320320301