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210201110110112 = 25112947438123437
BaseRepresentation
bin101111110010110101000010…
…011111111101111110100000
31000120021000210210000102200112
4233302311002133331332200
5210022413333142010422
62023021020142110452
762163346314500552
oct5762650237757640
91016230723012615
10210201110110112
1160a818767a8740
121b6aa47257b428
139039b58716c54
1439c9b064454d2
151947c2eb37ee2
hexbf2d427fdfa0

210201110110112 has 96 divisors (see below), whose sum is σ = 476958699544320. Its totient is φ = 90288477690880.

The previous prime is 210201110110073. The next prime is 210201110110217. The reversal of 210201110110112 is 211011011102012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218581943 + ... + 219541494.

It is an arithmetic number, because the mean of its divisors is an integer number (4968319786920).

Almost surely, 2210201110110112 is an apocalyptic number.

210201110110112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210201110110112 is an abundant number, since it is smaller than the sum of its proper divisors (266757589434208).

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

210201110110112 is a wasteful number, since it uses less digits than its factorization.

210201110110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438123534 (or 438123526 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 210201110110112 its reverse (211011011102012), we get a palindrome (421212121212124).

The spelling of 210201110110112 in words is "two hundred ten trillion, two hundred one billion, one hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 47 58 88 94 116 176 188 232 319 352 376 464 517 638 752 928 1034 1276 1363 1504 2068 2552 2726 4136 5104 5452 8272 10208 10904 14993 16544 21808 29986 43616 59972 119944 239888 479776 438123437 876246874 1752493748 3504987496 4819357807 7009974992 9638715614 12705579673 14019949984 19277431228 20591801539 25411159346 38554862456 41183603078 50822318692 77109724912 82367206156 101644637384 139761376403 154219449824 164734412312 203289274768 226509816929 279522752806 329468824624 406578549536 453019633858 559045505612 597162244631 658937649248 906039267716 1118091011224 1194324489262 1812078535432 2236182022448 2388648978524 3624157070864 4472364044896 4777297957048 6568784690941 7248314141728 9554595914096 13137569381882 19109191828192 26275138763764 52550277527528 105100555055056 210201110110112