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221132021201200 = 24522380713297797
BaseRepresentation
bin110010010001111001001111…
…100100100111100100110000
31001222222000101202200220010201
4302101321033210213210300
5212441011334411414300
62102150351554404544
764402155425645614
oct6221711744474460
91058860352626121
10221132021201200
116450662208281a
1220974a4a590754
1396508773a13c5
143c86bbddab344
151a87240b9e66a
hexc91e4f927930

221132021201200 has 120 divisors (see below), whose sum is σ = 554377092693408. Its totient is φ = 84605701847040.

The previous prime is 221132021201183. The next prime is 221132021201209. The reversal of 221132021201200 is 2102120231122.

It is not an unprimeable number, because it can be changed into a prime (221132021201209) 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, 742410702 + ... + 742708498.

Almost surely, 2221132021201200 is an apocalyptic number.

221132021201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221132021201200 is an abundant number, since it is smaller than the sum of its proper divisors (333245071492208).

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

221132021201200 is a wasteful number, since it uses less digits than its factorization.

221132021201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378551 (or 378540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221132021201200 its reverse (2102120231122), we get a palindrome (223234141432322).

The spelling of 221132021201200 in words is "two hundred twenty-one trillion, one hundred thirty-two billion, twenty-one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 80713 161426 297797 322852 403565 595594 645704 807130 1191188 1291408 1488985 1614260 1856399 2017825 2382376 2977970 3228520 3712798 4035650 4764752 5955940 6457040 6849331 7425596 7444925 8071300 9281995 11911880 13698662 14851192 14889850 16142600 18563990 23823760 27397324 29702384 29779700 32285200 34246655 37127980 46409975 54794648 59559400 68493310 74255960 92819950 109589296 119118800 136986620 148511920 171233275 185639900 273973240 342466550 371279800 547946480 684933100 742559600 1369866200 2739732400 24036089261 48072178522 96144357044 120180446305 192288714088 240360892610 384577428176 480721785220 552830053003 600902231525 961443570440 1105660106006 1201804463050 1922887140880 2211320212012 2403608926100 2764150265015 4422640424024 4807217852200 5528300530030 8845280848048 9614435704400 11056601060060 13820751325075 22113202120120 27641502650150 44226404240240 55283005300300 110566010600600 221132021201200