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212002313202312 = 23371731777959093
BaseRepresentation
bin110000001101000010100010…
…100100011110101010001000
31000210122020000201102000101120
4300031002202210132222020
5210241421214134433222
62030520303531315240
762440442645246223
oct6015024244365210
91023566021360346
10212002313202312
1161606748a062a6
121b93b5758abb20
13913a969c96c19
143a4cd7690a5ba
151979a000dd15c
hexc0d0a291ea88

212002313202312 has 128 divisors (see below), whose sum is σ = 545140436117760. Its totient is φ = 68678966845440.

The previous prime is 212002313202311. The next prime is 212002313202347. The reversal of 212002313202312 is 213202313200212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212002313202311) 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, 220565038 + ... + 221524130.

It is an arithmetic number, because the mean of its divisors is an integer number (4258909657170).

Almost surely, 2212002313202312 is an apocalyptic number.

It is an amenable number.

212002313202312 is an abundant number, since it is smaller than the sum of its proper divisors (333138122915448).

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

212002313202312 is a wasteful number, since it uses less digits than its factorization.

212002313202312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961023 (or 961019 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212002313202312 its reverse (213202313200212), we get a palindrome (425204626402524).

The spelling of 212002313202312 in words is "two hundred twelve trillion, two billion, three hundred thirteen million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 71 73 142 146 213 219 284 292 426 438 568 584 852 876 1704 1752 1777 3554 5183 5331 7108 10366 10662 14216 15549 20732 21324 31098 41464 42648 62196 124392 126167 129721 252334 259442 378501 389163 504668 518884 757002 778326 959093 1009336 1037768 1514004 1556652 1918186 2877279 3028008 3113304 3836372 5754558 7672744 9210191 11509116 18420382 23018232 27630573 36840764 55261146 68095603 70013789 73681528 110522292 136191206 140027578 204286809 210041367 221044584 272382412 280055156 408573618 420082734 544764824 560110312 817147236 840165468 1634294472 1680330936 1704308261 3408616522 4970979019 5112924783 6817233044 9941958038 10225849566 13634466088 14912937057 19883916076 20451699132 29825874114 39767832152 40903398264 59651748228 119303496456 121005886531 124414503053 242011773062 248829006106 363017659593 373243509159 484023546124 497658012212 726035319186 746487018318 968047092248 995316024424 1452070638372 1492974036636 2904141276744 2985948073272 8833429716763 17666859433526 26500289150289 35333718867052 53000578300578 70667437734104 106001156601156 212002313202312