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212121101022200 = 23523779928059089
BaseRepresentation
bin110000001110110001001010…
…111000000011001111111000
31000211001120122020122111101022
4300032301022320003033320
5210300343003330202300
62031051031042442012
762452146425123636
oct6016611270031770
91024046566574338
10212121101022200
11616520655a5577
121b95a5a7663308
139148c1acb3b46
143a54a04c72356
15197cb5394e285
hexc0ec4ae033f8

212121101022200 has 48 divisors (see below), whose sum is σ = 493194624930000. Its totient is φ = 84846192657920.

The previous prime is 212121101022199. The next prime is 212121101022203. The reversal of 212121101022200 is 2220101121212.

It is a super-3 number, since 3×2121211010222003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121101022203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6469745 + ... + 21589344.

It is an arithmetic number, because the mean of its divisors is an integer number (10274888019375).

Almost surely, 2212121101022200 is an apocalyptic number.

212121101022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121101022200 is an abundant number, since it is smaller than the sum of its proper divisors (281073523907800).

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

212121101022200 is a wasteful number, since it uses less digits than its factorization.

212121101022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28096904 (or 28096895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212121101022200 its reverse (2220101121212), we get a palindrome (214341202143412).

The spelling of 212121101022200 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 37799 75598 151196 188995 302392 377990 755980 944975 1511960 1889950 3779900 7559800 28059089 56118178 112236356 140295445 224472712 280590890 561181780 701477225 1122363560 1402954450 2805908900 5611817800 1060605505111 2121211010222 4242422020444 5303027525555 8484844040888 10606055051110 21212110102220 26515137627775 42424220204440 53030275255550 106060550511100 212121101022200