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212011112002100 = 225231103663987197
BaseRepresentation
bin110000001101001010101111…
…000001001111001000110100
31000210200001201220220100121012
4300031022233001033020310
5210242042224133031400
62030524321004211352
762441203665643565
oct6015125701171064
91023601656810535
10212011112002100
116160a453674864
121b941210539b58
13913b73cb5c828
143a4d56d30a16c
151979d677c4d35
hexc0d2af04f234

212011112002100 has 72 divisors (see below), whose sum is σ = 479515618702848. Its totient is φ = 81272032790400.

The previous prime is 212011112002087. The next prime is 212011112002111. The reversal of 212011112002100 is 1200211110212.

It is a super-2 number, since 2×2120111120021002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331674299 + ... + 332312898.

Almost surely, 2212011112002100 is an apocalyptic number.

212011112002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011112002100 is an abundant number, since it is smaller than the sum of its proper divisors (267504506700748).

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

212011112002100 is a wasteful number, since it uses less digits than its factorization.

212011112002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663987345 (or 663987338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011112002100 its reverse (1200211110212), we get a palindrome (213211323112312).

The spelling of 212011112002100 in words is "two hundred twelve trillion, eleven billion, one hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 103 124 155 206 310 412 515 620 775 1030 1550 2060 2575 3100 3193 5150 6386 10300 12772 15965 31930 63860 79825 159650 319300 663987197 1327974394 2655948788 3319935985 6639871970 13279743940 16599679925 20583603107 33199359850 41167206214 66398719700 68390681291 82334412428 102918015535 136781362582 205836031070 273562725164 341953406455 411672062140 514590077675 683906812910 1029180155350 1367813625820 1709767032275 2058360310700 2120111120021 3419534064550 4240222240042 6839068129100 8480444480084 10600555600105 21201111200210 42402222400420 53002778000525 106005556001050 212011112002100