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211200221011212 = 2232113128340465673
BaseRepresentation
bin110000000001010111100010…
…001001100101110100001100
31000200210112200112102221202200
4300001113202021211310030
5210140301023034324322
62025104013032121500
762325466235152536
oct6001274211456414
91020715615387680
10211200221011212
1161327568867454
121b830026836290
1390b0131734b64
143a2220676c856
151963c082c78ac
hexc015e2265d0c

211200221011212 has 72 divisors (see below), whose sum is σ = 539011518265584. Its totient is φ = 69722676581376.

The previous prime is 211200221011177. The next prime is 211200221011217. The reversal of 211200221011212 is 212110122002112.

211200221011212 is a `hidden beast` number, since 21 + 1 + 200 + 221 + 0 + 11 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211200221011217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15013593 + ... + 25452080.

It is an arithmetic number, because the mean of its divisors is an integer number (7486271087022).

Almost surely, 2211200221011212 is an apocalyptic number.

It is an amenable number.

211200221011212 is an abundant number, since it is smaller than the sum of its proper divisors (327811297254372).

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

211200221011212 is a wasteful number, since it uses less digits than its factorization.

211200221011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40467079 (or 40467074 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211200221011212 its reverse (212110122002112), we get a palindrome (423310343013324).

The spelling of 211200221011212 in words is "two hundred eleven trillion, two hundred billion, two hundred twenty-one million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1283 1356 2034 2566 3849 4068 5132 7698 11547 15396 23094 46188 144979 289958 434937 579916 869874 1304811 1739748 2609622 5219244 40465673 80931346 121397019 161862692 242794038 364191057 485588076 728382114 1456764228 4572621049 9145242098 13717863147 18290484196 27435726294 41153589441 51917458459 54871452588 82307178882 103834916918 155752375377 164614357764 207669833836 311504750754 467257126131 623009501508 934514252262 1869028504524 5866672805867 11733345611734 17600018417601 23466691223468 35200036835202 52800055252803 70400073670404 105600110505606 211200221011212