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212011303023300 = 2235211227283021363
BaseRepresentation
bin110000001101001010111010…
…011001111011001011000100
31000210200002020020100020102110
4300031022322121323023010
5210242043122033221200
62030524351550341020
762441211505413654
oct6015127231731304
91023602206306373
10212011303023300
116160a541484920
121b9412644ba770
13913b7705c2021
143a4d58a832364
151979d79458b50
hexc0d2ba67b2c4

212011303023300 has 144 divisors (see below), whose sum is σ = 672132720252672. Its totient is φ = 51170262249600.

The previous prime is 212011303023277. The next prime is 212011303023353. The reversal of 212011303023300 is 3320303110212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140761582 + ... + 142259781.

It is an arithmetic number, because the mean of its divisors is an integer number (4667588335088).

Almost surely, 2212011303023300 is an apocalyptic number.

212011303023300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011303023300 is an abundant number, since it is smaller than the sum of its proper divisors (460121417229372).

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

212011303023300 is a wasteful number, since it uses less digits than its factorization.

212011303023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283021618 (or 283021611 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212011303023300 its reverse (3320303110212), we get a palindrome (215331606133512).

The spelling of 212011303023300 in words is "two hundred twelve trillion, eleven billion, three hundred three million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 227 275 300 330 454 550 660 681 825 908 1100 1135 1362 1650 2270 2497 2724 3300 3405 4540 4994 5675 6810 7491 9988 11350 12485 13620 14982 17025 22700 24970 29964 34050 37455 49940 62425 68100 74910 124850 149820 187275 249700 374550 749100 283021363 566042726 849064089 1132085452 1415106815 1698128178 2830213630 3113234993 3396256356 4245320445 5660427260 6226469986 7075534075 8490640890 9339704979 12452939972 14151068150 15566174965 16981281780 18679409958 21226602225 28302136300 31132349930 37358819916 42453204450 46698524895 62264699860 64245849401 77830874825 84906408900 93397049790 128491698802 155661749650 186794099580 192737548203 233492624475 256983397604 311323499300 321229247005 385475096406 466985248950 642458494010 706704343411 770950192812 933970497900 963687741015 1284916988020 1413408686822 1606146235025 1927375482030 2120113030233 2826817373644 3212292470050 3533521717055 3854750964060 4240226060466 4818438705075 6424584940100 7067043434110 8480452120932 9636877410150 10600565151165 14134086868220 17667608585275 19273754820300 21201130302330 35335217170550 42402260604660 53002825755825 70670434341100 106005651511650 212011303023300