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212311200102220 = 225177337423228577
BaseRepresentation
bin110000010001100010001101…
…101010011111011101001100
31000211201202022120121022222201
4300101202031222133131030
5210312001314211232340
62031314230245451244
762501656313500012
oct6021421552373514
91024652276538881
10212311200102220
1161715746574a7a
121b98b3bb410b24
139160b24cc668b
143a5dcba0228b2
151982a7ca8779a
hexc1188da9f74c

212311200102220 has 96 divisors (see below), whose sum is σ = 478561931059968. Its totient is φ = 78831554199552.

The previous prime is 212311200102181. The next prime is 212311200102247. The reversal of 212311200102220 is 22201002113212.

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 31 ways as a sum of consecutive naturals, for example, 928724572 + ... + 928953148.

It is an arithmetic number, because the mean of its divisors is an integer number (4985020115208).

Almost surely, 2212311200102220 is an apocalyptic number.

212311200102220 is a gapful number since it is divisible by the number (20) 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 212311200102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239280965529984).

212311200102220 is an abundant number, since it is smaller than the sum of its proper divisors (266250730957748).

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

212311200102220 is a wasteful number, since it uses less digits than its factorization.

212311200102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266099 (or 266097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 212311200102220 its reverse (22201002113212), we get a palindrome (234512202215432).

The spelling of 212311200102220 in words is "two hundred twelve trillion, three hundred eleven billion, two hundred million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 12410 24820 37423 74846 149692 187115 228577 374230 457154 636191 748460 914308 1142885 1272382 2285770 2544764 2731879 3180955 3885809 4571540 5463758 6361910 7771618 10927516 12723820 13659395 15543236 16686121 19429045 27318790 33372242 38858090 46441943 54637580 66744484 77716180 83430605 92883886 166861210 185767772 232209715 283664057 333722420 464419430 567328114 928838860 1134656228 1418320285 2836640570 5673281140 8554037071 17108074142 34216148284 42770185355 85540370710 145418630207 171080741420 290837260414 581674520828 624444706183 727093151035 1248889412366 1454186302070 2497778824732 2908372604140 3122223530915 6244447061830 10615560005111 12488894123660 21231120010222 42462240020444 53077800025555 106155600051110 212311200102220