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212100201120210 = 235132692477816203
BaseRepresentation
bin110000001110011101101101…
…001001010000000111010010
31000210222120200200210110200020
4300032131231021100013102
5210300022202441321320
62031033253125204310
762450506464650034
oct6016355511200722
91023876620713606
10212100201120210
11616442101008a7
121b956534260696
139146c6a048330
143a539c1257c54
15197c32dbc5940
hexc0e76d2501d2

212100201120210 has 128 divisors (see below), whose sum is σ = 550458163825920. Its totient is φ = 51994130758656.

The previous prime is 212100201120103. The next prime is 212100201120287. The reversal of 212100201120210 is 12021102001212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212100201120210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259453969 + ... + 260270171.

It is an arithmetic number, because the mean of its divisors is an integer number (4300454404890).

Almost surely, 2212100201120210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100201120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275229081912960).

212100201120210 is an abundant number, since it is smaller than the sum of its proper divisors (338357962705710).

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

212100201120210 is a wasteful number, since it uses less digits than its factorization.

212100201120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818972.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212100201120210 its reverse (12021102001212), we get a palindrome (224121303121422).

The spelling of 212100201120210 in words is "two hundred twelve trillion, one hundred billion, two hundred one million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 269 390 538 807 1345 1614 2477 2690 3497 4035 4954 6994 7431 8070 10491 12385 14862 17485 20982 24770 32201 34970 37155 52455 64402 74310 96603 104910 161005 193206 322010 483015 666313 816203 966030 1332626 1632406 1998939 2448609 3331565 3997878 4081015 4897218 6663130 8162030 8662069 9994695 10610639 12243045 17324138 19989390 21221278 24486090 25986207 31831917 43310345 51972414 53053195 63663834 86620690 106106390 129931035 159159585 219558607 259862070 318319170 439117214 658675821 1097793035 1317351642 2021734831 2195586070 2854261891 3293379105 4043469662 5708523782 6065204493 6586758210 8562785673 10108674155 12130408986 14271309455 17125571346 20217348310 26282552803 28542618910 30326022465 42813928365 52565105606 60652044930 78847658409 85627856730 131412764015 157695316818 262825528030 394238292045 543846669539 788476584090 1087693339078 1631540008617 2719233347695 3263080017234 5438466695390 7070006704007 8157700043085 14140013408014 16315400086170 21210020112021 35350033520035 42420040224042 70700067040070 106050100560105 212100201120210