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213130882965 = 357111321091887
BaseRepresentation
bin1100011001111110010…
…1110010111110010101
3202101010110100122122010
43012133211302332111
511442443001223330
6241524434254433
721253403420430
oct3063745627625
9671113318563
10213130882965
118242a9109a0
1235381127419
1317137858500
14a45bd9a817
15582612b3b0
hex319f972f95

213130882965 has 96 divisors (see below), whose sum is σ = 460374921216. Its totient is φ = 81760423680.

The previous prime is 213130882907. The next prime is 213130883003. The reversal of 213130882965 is 569288031312.

It is not a de Polignac number, because 213130882965 - 215 = 213130850197 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350749 + ... + 741138.

It is an arithmetic number, because the mean of its divisors is an integer number (4795572096).

Almost surely, 2213130882965 is an apocalyptic number.

It is an amenable number.

213130882965 is an abundant number, since it is smaller than the sum of its proper divisors (247244038251).

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

213130882965 is a wasteful number, since it uses less digits than its factorization.

213130882965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091939 (or 1091926 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 213130882965 in words is "two hundred thirteen billion, one hundred thirty million, eight hundred eighty-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 169 195 231 273 385 429 455 507 715 845 1001 1155 1183 1365 1859 2145 2535 3003 3549 5005 5577 5915 9295 13013 15015 17745 27885 39039 65065 195195 1091887 3275661 5459435 7643209 12010757 14194531 16378305 22929627 36032271 38216045 42583593 60053785 70972655 84075299 99361717 114648135 156139841 180161355 184528903 212917965 252225897 298085151 420376495 468419523 496808585 553586709 780699205 922644515 1092978887 1261129485 1291702321 1490425755 2029817933 2342097615 2767933545 3278936661 3875106963 5464894435 6089453799 6458511605 10149089665 14208725531 16394683305 19375534815 30447268995 42626176593 71043627655 213130882965