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212211022100210 = 257234124771297873
BaseRepresentation
bin110000010000000100111010…
…100101101111011011110010
31000211101011202000000112212222
4300100010322211233123302
5210303331133124201320
62031200221523321042
762461511645514140
oct6020047245573362
91024334660015788
10212211022100210
1161687209711381
121b973b01b20182
13915454b662603
143a590d54a8590
151980167ddb825
hexc1013a96f6f2

212211022100210 has 128 divisors (see below), whose sum is σ = 466827958969344. Its totient is φ = 67869776240640.

The previous prime is 212211022100179. The next prime is 212211022100237. The reversal of 212211022100210 is 12001220112212.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 162857834 + ... + 164155706.

It is an arithmetic number, because the mean of its divisors is an integer number (3647093429448).

Almost surely, 2212211022100210 is an apocalyptic number.

212211022100210 is an abundant number, since it is smaller than the sum of its proper divisors (254616936869134).

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

212211022100210 is a wasteful number, since it uses less digits than its factorization.

212211022100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300428.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212211022100210 its reverse (12001220112212), we get a palindrome (224212242212422).

The spelling of 212211022100210 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-two million, one hundred thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 23 35 41 46 70 82 115 161 205 230 287 322 410 574 805 943 1435 1610 1886 2477 2870 4715 4954 6601 9430 12385 13202 17339 24770 33005 34678 56971 66010 86695 101557 113942 173390 203114 284855 398797 507785 569710 710899 797594 1015570 1297873 1421798 1993985 2335811 2595746 3554495 3987970 4671622 6489365 7108990 9085111 11679055 12978730 16350677 18170222 23358110 29851079 32701354 45425555 53212793 59702158 81753385 90851110 106425586 149255395 163506770 208957553 266063965 298510790 372489551 417915106 532127930 744979102 1044787765 1223894239 1862447755 2089575530 2447788478 3214831421 3724895510 6119471195 6429662842 8567259673 12238942390 16074157105 17134519346 22503819947 32148314210 42836298365 45007639894 73941122683 85672596730 112519099735 131808088261 147882245366 225038199470 263616176522 369705613415 517587858781 659040441305 739411226830 922656617827 1035175717562 1318080882610 1845313235654 2587939293905 3031586030003 4613283089135 5175878587810 6063172060006 9226566178270 15157930150015 21221102210021 30315860300030 42442204420042 106105511050105 212211022100210