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212112323200200 = 233522347150626561
BaseRepresentation
bin110000001110101000111111…
…101011010100010011001000
31000211000201222111121221021210
4300032220333223110103020
5210300222014214401300
62031043020035333120
762451416050640103
oct6016507753242310
91024021874557253
10212112323200200
1161649370764a25
121b958957a511a0
13914814c584727
143a5441117373a
15197c7dd00d050
hexc0ea3fad44c8

212112323200200 has 96 divisors (see below), whose sum is σ = 657828371691360. Its totient is φ = 56539185561600.

The previous prime is 212112323200187. The next prime is 212112323200207. The reversal of 212112323200200 is 2002323211212.

It is a super-2 number, since 2×2121123232002002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212112323200207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73905081 + ... + 76721480.

It is an arithmetic number, because the mean of its divisors is an integer number (6852378871785).

Almost surely, 2212112323200200 is an apocalyptic number.

212112323200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112323200200 is an abundant number, since it is smaller than the sum of its proper divisors (445716048491160).

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

212112323200200 is a wasteful number, since it uses less digits than its factorization.

212112323200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150628927 (or 150628918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212112323200200 its reverse (2002323211212), we get a palindrome (214114646411412).

The spelling of 212112323200200 in words is "two hundred twelve trillion, one hundred twelve billion, three hundred twenty-three million, two 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 2347 4694 7041 9388 11735 14082 18776 23470 28164 35205 46940 56328 58675 70410 93880 117350 140820 176025 234700 281640 352050 469400 704100 1408200 150626561 301253122 451879683 602506244 753132805 903759366 1205012488 1506265610 1807518732 2259398415 3012531220 3615037464 3765664025 4518796830 6025062440 7531328050 9037593660 11296992075 15062656100 18075187320 22593984150 30125312200 45187968300 90375936600 353520538667 707041077334 1060561616001 1414082154668 1767602693335 2121123232002 2828164309336 3535205386670 4242246464004 5302808080005 7070410773340 8484492928008 8838013466675 10605616160010 14140821546680 17676026933350 21211232320020 26514040400025 35352053866700 42422464640040 53028080800050 70704107733400 106056161600100 212112323200200