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2121333112200 = 2335211331288099
BaseRepresentation
bin11110110111101001010…
…011100111110110001000
321111210112100111120121110
4132313221103213312020
5234223442234042300
64302305454410320
7306155416640661
oct36675123476610
97453470446543
102121333112200
1174871a269925
122a31662009a0
1312506b9ab113
147495cc96368
153a2aa014550
hex1ede94e7d88

2121333112200 has 96 divisors (see below), whose sum is σ = 6634328724000. Its totient is φ = 560682716160.

The previous prime is 2121333112187. The next prime is 2121333112201. The reversal of 2121333112200 is 22113331212.

It is a super-6 number, since 6×21213331122006 (a number of 75 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2121333112201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15576250 + ... + 15711849.

It is an arithmetic number, because the mean of its divisors is an integer number (69107590875).

Almost surely, 22121333112200 is an apocalyptic number.

2121333112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121333112200 is an abundant number, since it is smaller than the sum of its proper divisors (4512995611800).

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

2121333112200 is a wasteful number, since it uses less digits than its factorization.

2121333112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31288231 (or 31288222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2121333112200 its reverse (22113331212), we get a palindrome (2143446443412).

The spelling of 2121333112200 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-three million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 150 200 226 300 339 452 565 600 678 904 1130 1356 1695 2260 2712 2825 3390 4520 5650 6780 8475 11300 13560 16950 22600 33900 67800 31288099 62576198 93864297 125152396 156440495 187728594 250304792 312880990 375457188 469321485 625761980 750914376 782202475 938642970 1251523960 1564404950 1877285940 2346607425 3128809900 3535555187 3754571880 4693214850 6257619800 7071110374 9386429700 10606665561 14142220748 17677775935 18772859400 21213331122 28284441496 35355551870 42426662244 53033327805 70711103740 84853324488 88388879675 106066655610 141422207480 176777759350 212133311220 265166639025 353555518700 424266622440 530333278050 707111037400 1060666556100 2121333112200