Search a number
-
+
212001102012210 = 23572482472989169
BaseRepresentation
bin110000001101000001011010…
…011000001001111100110010
31000210122002220022100011220220
4300031001122120021330302
5210241411224103342320
62030515543423313510
762440400640303600
oct6015013230117462
91023562808304826
10212001102012210
1161606187257245
121b93b29814b896
13913a8060852a4
143a4cc9db06870
15197997dae1e40
hexc0d05a609f32

212001102012210 has 96 divisors (see below), whose sum is σ = 591884929952640. Its totient is φ = 48456374174208.

The previous prime is 212001102012143. The next prime is 212001102012239. The reversal of 212001102012210 is 12210201100212.

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 212001102012210.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69428506 + ... + 72417674.

It is an arithmetic number, because the mean of its divisors is an integer number (6165468020340).

Almost surely, 2212001102012210 is an apocalyptic number.

212001102012210 is an abundant number, since it is smaller than the sum of its proper divisors (379883827940430).

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

212001102012210 is a wasteful number, since it uses less digits than its factorization.

212001102012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037440 (or 3037433 counting only the distinct ones).

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

Adding to 212001102012210 its reverse (12210201100212), we get a palindrome (224211303112422).

The spelling of 212001102012210 in words is "two hundred twelve trillion, one billion, one hundred two million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 48247 96494 144741 241235 289482 337729 482470 675458 723705 1013187 1447410 1688645 2026374 2364103 2989169 3377290 4728206 5065935 5978338 7092309 8967507 10131870 11820515 14184618 14945845 17935014 20924183 23641030 29891690 35461545 41848366 44837535 62772549 70923090 89675070 104620915 125545098 146469281 209241830 292938562 313862745 439407843 627725490 732346405 878815686 1464692810 2197039215 4394078430 144218436743 288436873486 432655310229 721092183715 865310620458 1009529057201 1442184367430 2019058114402 2163276551145 3028587171603 4326553102290 5047645286005 6057174343206 7066703400407 10095290572010 14133406800814 15142935858015 21200110201221 30285871716030 35333517002035 42400220402442 70667034004070 106000551006105 212001102012210