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20132201313 = 3273712976659
BaseRepresentation
bin10010101111111110…
…010000001101100001
31220222001021210100200
4102233332100031201
5312212320420223
613125410535413
71311615613320
oct225776201541
956861253320
1020132201313
1185a1114904
123a9a297569
131b8abb4373
14d8da9a0b7
157cc681a43
hex4aff90361

20132201313 has 48 divisors (see below), whose sum is σ = 34163775360. Its totient is φ = 11182883328.

The previous prime is 20132201281. The next prime is 20132201333. The reversal of 20132201313 is 31310223102.

20132201313 is a `hidden beast` number, since 20 + 132 + 201 + 313 = 666.

It is not a de Polignac number, because 20132201313 - 25 = 20132201281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20132201333) 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, 3019978 + ... + 3026636.

It is an arithmetic number, because the mean of its divisors is an integer number (711745320).

Almost surely, 220132201313 is an apocalyptic number.

It is an amenable number.

20132201313 is a deficient number, since it is larger than the sum of its proper divisors (14031574047).

20132201313 is a wasteful number, since it uses less digits than its factorization.

20132201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20132201313 its reverse (31310223102), we get a palindrome (51442424415).

It can be divided in two parts, 20132 and 201313, that added together give a triangular number (221445 = T665).

The spelling of 20132201313 in words is "twenty billion, one hundred thirty-two million, two hundred one thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 1297 2331 3891 6659 9079 11673 19977 27237 46613 47989 59931 81711 139839 143967 246383 335923 419517 431901 739149 1007769 1724681 2217447 3023307 5174043 8636723 15522129 25910169 60457061 77730507 181371183 319558751 544113549 958676253 2236911257 2876028759 6710733771 20132201313