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213500759112 = 2332103151190657
BaseRepresentation
bin1100011011010110100…
…0110000110001001000
3202102002020100022022200
43012311220300301020
511444222143242422
6242025250120200
721265514336514
oct3066550606110
9672066308280
10213500759112
11825aa681363
1235464b80060
1317196380634
14a49515d144
15584883e2ac
hex31b5a30c48

213500759112 has 96 divisors (see below), whose sum is σ = 587714724480. Its totient is φ = 70008883200.

The previous prime is 213500759107. The next prime is 213500759113. The reversal of 213500759112 is 211957005312.

213500759112 is a `hidden beast` number, since 2 + 1 + 3 + 50 + 0 + 7 + 591 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213500759113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024488 + ... + 1215144.

It is an arithmetic number, because the mean of its divisors is an integer number (6122028380).

Almost surely, 2213500759112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213500759112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293857362240).

213500759112 is an abundant number, since it is smaller than the sum of its proper divisors (374213965368).

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

213500759112 is a wasteful number, since it uses less digits than its factorization.

213500759112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190923 (or 190916 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 213500759112 in words is "two hundred thirteen billion, five hundred million, seven hundred fifty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 151 206 302 309 412 453 604 618 824 906 927 1208 1236 1359 1812 1854 2472 2718 3624 3708 5436 7416 10872 15553 31106 46659 62212 93318 124424 139977 186636 190657 279954 373272 381314 559908 571971 762628 1119816 1143942 1525256 1715913 2287884 3431826 4575768 6863652 13727304 19637671 28789207 39275342 57578414 58913013 78550684 86367621 115156828 117826026 157101368 172735242 176739039 230313656 235652052 259102863 345470484 353478078 471304104 518205726 690940968 706956156 1036411452 1413912312 2072822904 2965288321 5930576642 8895864963 11861153284 17791729926 23722306568 26687594889 35583459852 53375189778 71166919704 106750379556 213500759112