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213032013001192 = 237112834612650799
BaseRepresentation
bin110000011100000001100001…
…011101011111000111101000
31000221021122212021020112201201
4300130001201131133013220
5210410304030312014232
62033025320011453544
762605024606156210
oct6034014135370750
91027248767215651
10213032013001192
1161973407673720
121ba870461572b4
1391b3aa9389348
143a86b39575240
1519966b8e2ebe7
hexc1c06175f1e8

213032013001192 has 128 divisors (see below), whose sum is σ = 500840879616000. Its totient is φ = 82526763974400.

The previous prime is 213032013001189. The next prime is 213032013001217. The reversal of 213032013001192 is 291100310230312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 213032013001192.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79039809 + ... + 81690607.

It is an arithmetic number, because the mean of its divisors is an integer number (3912819372000).

Almost surely, 2213032013001192 is an apocalyptic number.

213032013001192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213032013001192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250420439808000).

213032013001192 is an abundant number, since it is smaller than the sum of its proper divisors (287808866614808).

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

213032013001192 is a wasteful number, since it uses less digits than its factorization.

213032013001192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651567 (or 2651563 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 213032013001192 in words is "two hundred thirteen trillion, thirty-two billion, thirteen million, one thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 283 308 461 566 616 922 1132 1844 1981 2264 3113 3227 3688 3962 5071 6226 6454 7924 10142 12452 12908 15848 20284 21791 24904 25816 35497 40568 43582 70994 87164 130463 141988 174328 260926 283976 521852 913241 1043704 1435093 1826482 2650799 2870186 3652964 5301598 5740372 7305928 10045651 10603196 11480744 18555593 20091302 21206392 29158789 37111186 40182604 58317578 74222372 80365208 116635156 148444744 204111523 233270312 408223046 750176117 816446092 1222018339 1500352234 1632892184 2444036678 3000704468 4888073356 5251232819 6001408936 8251937287 8554128373 9776146712 10502465638 13442201729 16503874574 17108256746 21004931276 26884403458 33007749148 34216513492 42009862552 53768806916 57763561009 66015498296 68433026984 94095412103 107537613832 115527122018 188190824206 231054244036 345831189937 376381648412 462108488072 691662379874 752763296824 1383324759748 2420818329559 2766649519496 3804143089307 4841636659118 7608286178614 9683273318236 15216572357228 19366546636472 26629001625149 30433144714456 53258003250298 106516006500596 213032013001192