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212100021221000 = 235311103187202137
BaseRepresentation
bin110000001110011101100010…
…011010111111011010001000
31000210222120020011021122100112
4300032131202122333122020
5210300021320413033000
62031033223221253452
762450502151561403
oct6016354232773210
91023876204248315
10212100021221000
11616441285a7970
121b9564a3b64288
139146c3b9ab2b3
143a539a53c8d3a
15197c31cedc235
hexc0e7626bf688

212100021221000 has 128 divisors (see below), whose sum is σ = 546690147644160. Its totient is φ = 76378471488000.

The previous prime is 212100021220793. The next prime is 212100021221087. The reversal of 212100021221000 is 122120001212.

212100021221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 92468069 + ... + 94734068.

It is an arithmetic number, because the mean of its divisors is an integer number (4271016778470).

Almost surely, 2212100021221000 is an apocalyptic number.

212100021221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100021221000 is an abundant number, since it is smaller than the sum of its proper divisors (334590126423160).

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

212100021221000 is a wasteful number, since it uses less digits than its factorization.

212100021221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187202272 (or 187202258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100021221000 its reverse (122120001212), we get a palindrome (212222141222212).

The spelling of 212100021221000 in words is "two hundred twelve trillion, one hundred billion, twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 103 110 125 200 206 220 250 275 412 440 500 515 550 824 1000 1030 1100 1133 1375 2060 2200 2266 2575 2750 4120 4532 5150 5500 5665 9064 10300 11000 11330 12875 20600 22660 25750 28325 45320 51500 56650 103000 113300 141625 226600 283250 566500 1133000 187202137 374404274 748808548 936010685 1497617096 1872021370 2059223507 3744042740 4118447014 4680053425 7488085480 8236894028 9360106850 10296117535 16473788056 18720213700 19281820111 20592235070 23400267125 37440427400 38563640222 41184470140 46800534250 51480587675 77127280444 82368940280 93601068500 96409100555 102961175350 154254560888 187202137000 192818201110 205922350700 212100021221 257402938375 385636402220 411844701400 424200042442 482045502775 514805876750 771272804440 848400084884 964091005550 1029611753500 1060500106105 1696800169768 1928182011100 2059223507000 2121000212210 2410227513875 3856364022200 4242000424420 4820455027750 5302500530525 8484000848840 9640910055500 10605001061050 19281820111000 21210002122100 26512502652625 42420004244200 53025005305250 106050010610500 212100021221000