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212201010012020 = 22525741284243193
BaseRepresentation
bin110000001111111011100101…
…110100101001111101110100
31000211100012220020111202212212
4300033323211310221331310
5210303200132030341040
62031151444225432552
762461005563254511
oct6017734564517564
91024305806452785
10212201010012020
1161682a410a0327
121b971b88a9b758
139153614301c83
143a588258ba308
15197ec7de41d65
hexc0fee5d29f74

212201010012020 has 24 divisors (see below), whose sum is σ = 447356059250184. Its totient is φ = 84550130057216.

The previous prime is 212201010011987. The next prime is 212201010012091. The reversal of 212201010012020 is 20210010102212.

It can be written as a sum of positive squares in 4 ways, for example, as 70913982049936 + 141287027962084 = 8421044^2 + 11886422^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212201010011986 and 212201010012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20642116457 + ... + 20642126736.

It is an arithmetic number, because the mean of its divisors is an integer number (18639835802091).

Almost surely, 2212201010012020 is an apocalyptic number.

212201010012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201010012020 is an abundant number, since it is smaller than the sum of its proper divisors (235155049238164).

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

212201010012020 is a wasteful number, since it uses less digits than its factorization.

212201010012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41284243459 (or 41284243457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212201010012020 its reverse (20210010102212), we get a palindrome (232411020114232).

The spelling of 212201010012020 in words is "two hundred twelve trillion, two hundred one billion, ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 41284243193 82568486386 165136972772 206421215965 412842431930 825684863860 10610050500601 21220101001202 42440202002404 53050252503005 106100505006010 212201010012020