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213202313112 = 233178928320747
BaseRepresentation
bin1100011010001111011…
…0010001111110011000
3202101022102202200101010
43012203312101332120
511443114243004422
6241535505253520
721255231521535
oct3064366217630
9671272680333
10213202313112
1182467169478
12353a10342a0
13171495a7c79
14a467671d8c
15582c53ab0c
hex31a3d91f98

213202313112 has 128 divisors (see below), whose sum is σ = 572744390400. Its totient is φ = 65898590208.

The previous prime is 213202313059. The next prime is 213202313119. The reversal of 213202313112 is 211313202312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213202313119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10265923 + ... + 10286669.

It is an arithmetic number, because the mean of its divisors is an integer number (4474565550).

Almost surely, 2213202313112 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 213202313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286372195200).

213202313112 is an abundant number, since it is smaller than the sum of its proper divisors (359542077288).

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

213202313112 is a wasteful number, since it uses less digits than its factorization.

213202313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21145 (or 21141 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213202313112 its reverse (211313202312), we get a palindrome (424515515424).

The spelling of 213202313112 in words is "two hundred thirteen billion, two hundred two million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 283 356 408 534 566 712 849 1068 1132 1513 1698 2136 2264 3026 3396 4539 4811 6052 6792 9078 9622 12104 14433 18156 19244 20747 25187 28866 36312 38488 41494 50374 57732 62241 75561 82988 100748 115464 124482 151122 165976 201496 248964 302244 352699 428179 497928 604488 705398 856358 1058097 1284537 1410796 1712716 1846483 2116194 2569074 2821592 3425432 3692966 4232388 5138148 5539449 5871401 7385932 8464776 10276296 11078898 11742802 14771864 17614203 22157796 23485604 31390211 35228406 44315592 46971208 62780422 70456812 94170633 99813817 125560844 140913624 188341266 199627634 251121688 299441451 376682532 399255268 522554689 598882902 753365064 798510536 1045109378 1197765804 1567664067 2090218756 2395531608 3135328134 4180437512 6270656268 8883429713 12541312536 17766859426 26650289139 35533718852 53300578278 71067437704 106601156556 213202313112