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212221101122212 = 227131015772524783
BaseRepresentation
bin110000010000001110010011…
…010110001010001010100100
31000211102010202102110220211011
4300100032103112022022210
5210304012303341402322
62031205010011552004
762462316503010010
oct6020162326121244
91024363672426734
10212221101122212
1161690510a99826
121b975a5545b604
139155496829c60
143a597add1b540
151980557ba8677
hexc1039358a2a4

212221101122212 has 48 divisors (see below), whose sum is σ = 461617261926912. Its totient is φ = 83124356860800.

The previous prime is 212221101122207. The next prime is 212221101122213.

212221101122212 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (212221101122213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2886225628 + ... + 2886299155.

It is an arithmetic number, because the mean of its divisors is an integer number (9617026290144).

Almost surely, 2212221101122212 is an apocalyptic number.

It is an amenable number.

212221101122212 is an abundant number, since it is smaller than the sum of its proper divisors (249396160804700).

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

212221101122212 is a wasteful number, since it uses less digits than its factorization.

212221101122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772524908 (or 5772524906 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 21222110 and 1122212, that added together give a palindrome (22344322).

The spelling of 212221101122212 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 707 1313 1414 2626 2828 5252 9191 18382 36764 5772524783 11545049566 23090099132 40407673481 75042822179 80815346962 150085644358 161630693924 300171288716 525299755253 583025003083 1050599510506 1166050006166 2101199021012 2332100012332 4081175021581 7579325040079 8162350043162 15158650080158 16324700086324 30317300160316 53055275280553 106110550561106 212221101122212