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212100102100200 = 23352353500170167
BaseRepresentation
bin110000001110011101100111…
…001111100001010011101000
31000210222120102210110201202110
4300032131213033201103220
5210300022002114201300
62031033235231002320
762450504153205666
oct6016354717412350
91023876383421673
10212100102100200
116164416a219686
121b9565070693a0
139146c52688902
143a539b203dc36
15197c325166550
hexc0e7673e14e8

212100102100200 has 48 divisors (see below), whose sum is σ = 657510316512480. Its totient is φ = 56560027226560.

The previous prime is 212100102100181. The next prime is 212100102100217. The reversal of 212100102100200 is 2001201001212.

212100102100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176750084484 + ... + 176750085683.

It is an arithmetic number, because the mean of its divisors is an integer number (13698131594010).

Almost surely, 2212100102100200 is an apocalyptic number.

212100102100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100102100200 is an abundant number, since it is smaller than the sum of its proper divisors (445410214412280).

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

212100102100200 is a wasteful number, since it uses less digits than its factorization.

212100102100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353500170186 (or 353500170177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100102100200 its reverse (2001201001212), we get a palindrome (214101303101412).

The spelling of 212100102100200 in words is "two hundred twelve trillion, one hundred billion, one hundred two million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 353500170167 707000340334 1060500510501 1414000680668 1767500850835 2121001021002 2828001361336 3535001701670 4242002042004 5302502552505 7070003403340 8484004084008 8837504254175 10605005105010 14140006806680 17675008508350 21210010210020 26512512762525 35350017016700 42420020420040 53025025525050 70700034033400 106050051050100 212100102100200