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201200202100200 = 23352407382330879
BaseRepresentation
bin101101101111110110010010…
…100100110010110111101000
3222101101112220000121220220110
4231233312102210302313220
5202332431003214201300
61551530032525454320
760244143366663132
oct5557662244626750
9871345800556813
10201200202100200
11591215878972a6
121a695b447113a0
1388361366b7ab4
1437981dad1a052
15183da2b89b550
hexb6fd92932de8

201200202100200 has 96 divisors (see below), whose sum is σ = 623873769523200. Its totient is φ = 53640213634560.

The previous prime is 201200202100171. The next prime is 201200202100211. The reversal of 201200202100200 is 2001202002102.

It is a super-2 number, since 2×2012002021002002 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 38721640 + ... + 43609239.

It is an arithmetic number, because the mean of its divisors is an integer number (6498685099200).

Almost surely, 2201200202100200 is an apocalyptic number.

201200202100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200202100200 is an abundant number, since it is smaller than the sum of its proper divisors (422673567423000).

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

201200202100200 is a wasteful number, since it uses less digits than its factorization.

201200202100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82334971 (or 82334962 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201200202100200 its reverse (2001202002102), we get a palindrome (203201404102302).

The spelling of 201200202100200 in words is "two hundred one trillion, two hundred billion, two 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 4073 8146 12219 16292 20365 24438 32584 40730 48876 61095 81460 97752 101825 122190 162920 203650 244380 305475 407300 488760 610950 814600 1221900 2443800 82330879 164661758 246992637 329323516 411654395 493985274 658647032 823308790 987970548 1234963185 1646617580 1975941096 2058271975 2469926370 3293235160 4116543950 4939852740 6174815925 8233087900 9879705480 12349631850 16466175800 24699263700 49398527400 335333670167 670667340334 1006001010501 1341334680668 1676668350835 2012002021002 2682669361336 3353336701670 4024004042004 5030005052505 6706673403340 8048008084008 8383341754175 10060010105010 13413346806680 16766683508350 20120020210020 25150025262525 33533367016700 40240040420040 50300050525050 67066734033400 100600101050100 201200202100200