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202200021221100 = 223527457210690863
BaseRepresentation
bin101101111110011001011100…
…011100000011111011101100
3222111221010121010200201220120
4231332121130130003323230
5203000321120413033400
61554013223555244540
760406320010202640
oct5576313434037354
9874833533621816
10202200021221100
11594776026aa031
121a817875ba9750
1388a94c3362586
1437d076731ac20
151859a472d3ca0
hexb7e65c703eec

202200021221100 has 144 divisors (see below), whose sum is σ = 670071110704128. Its totient is φ = 46116015874560.

The previous prime is 202200021221047. The next prime is 202200021221129. The reversal of 202200021221100 is 1122120002202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202200021221100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104385732 + ... + 106305131.

It is an arithmetic number, because the mean of its divisors is an integer number (4653271602112).

Almost surely, 2202200021221100 is an apocalyptic number.

202200021221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200021221100 is an abundant number, since it is smaller than the sum of its proper divisors (467871089483028).

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

202200021221100 is a wasteful number, since it uses less digits than its factorization.

202200021221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210691344 (or 210691337 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202200021221100 its reverse (1122120002202), we get a palindrome (203322141223302).

The spelling of 202200021221100 in words is "two hundred two trillion, two hundred billion, twenty-one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 457 525 700 914 1050 1371 1828 2100 2285 2742 3199 4570 5484 6398 6855 9140 9597 11425 12796 13710 15995 19194 22850 27420 31990 34275 38388 45700 47985 63980 68550 79975 95970 137100 159950 191940 239925 319900 479850 959700 210690863 421381726 632072589 842763452 1053454315 1264145178 1474836041 2106908630 2528290356 2949672082 3160362945 4213817260 4424508123 5267271575 5899344164 6320725890 7374180205 8849016246 10534543150 12641451780 14748360410 15801814725 17698032492 21069086300 22122540615 29496720820 31603629450 36870901025 44245081230 63207258900 73741802050 88490162460 96285724391 110612703075 147483604100 192571448782 221225406150 288857173173 385142897564 442450812300 481428621955 577714346346 674000070737 962857243910 1155428692692 1348000141474 1444285865865 1925714487820 2022000212211 2407143109775 2696000282948 2888571731730 3370000353685 4044000424422 4814286219550 5777143463460 6740000707370 7221429329325 8088000848844 9628572439100 10110001061055 13480001414740 14442858658650 16850001768425 20220002122110 28885717317300 33700003536850 40440004244220 50550005305275 67400007073700 101100010610550 202200021221100