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202013113001320 = 23545712281899849
BaseRepresentation
bin101101111011101011010111…
…110101110010010101101000
3222111021021011011220101200001
4231323223113311302111220
5202434240323412020240
61553351313135352344
760356652155432245
oct5573532765622550
9874237134811601
10202013113001320
1159405309900105
121a7a75b29826b4
1388949a743b41a
1437c56b5c565cc
151854c5839089a
hexb7bad7d72568

202013113001320 has 64 divisors (see below), whose sum is σ = 455561696394000. Its totient is φ = 80621773578240.

The previous prime is 202013113001317. The next prime is 202013113001353. The reversal of 202013113001320 is 23100311310202.

It can be written as a sum of positive squares in 8 ways, for example, as 172525020074884 + 29488092926436 = 13134878^2 + 5430294^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224046756 + ... + 224946604.

Almost surely, 2202013113001320 is an apocalyptic number.

202013113001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202013113001320 is an abundant number, since it is smaller than the sum of its proper divisors (253548583392680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202013113001320 is a wasteful number, since it uses less digits than its factorization.

202013113001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912598 (or 912594 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 202013113001320 its reverse (23100311310202), we get a palindrome (225113424311522).

The spelling of 202013113001320 in words is "two hundred two trillion, thirteen billion, one hundred thirteen million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 457 914 1828 2285 3656 4570 9140 12281 18280 24562 49124 61405 98248 122810 245620 491240 899849 1799698 3599396 4499245 5612417 7198792 8998490 11224834 17996980 22449668 28062085 35993960 44899336 56124170 112248340 224496680 411230993 822461986 1644923972 2056154965 3289847944 4112309930 8224619860 11051045569 16449239720 22102091138 44204182276 55255227845 88408364552 110510455690 221020911380 442041822760 5050327825033 10100655650066 20201311300132 25251639125165 40402622600264 50503278250330 101006556500660 202013113001320