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200112221211100 = 225211593742382393
BaseRepresentation
bin101101100000000001000001…
…110111000100100111011100
3222020112112121202122020202021
4231200001001313010213130
5202212114312112223400
61545334141343305524
760102426251006212
oct5540010167044734
9866475552566667
10200112221211100
1158842130a60210
121a53b109bab2a4
138787669a05b83
14375b6a9c06cb2
1518205a119371a
hexb60041dc49dc

200112221211100 has 144 divisors (see below), whose sum is σ = 481768079869440. Its totient is φ = 71531943436800.

The previous prime is 200112221211079. The next prime is 200112221211101. The reversal of 200112221211100 is 1112122211002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200112221211101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2428711504 + ... + 2428793896.

It is an arithmetic number, because the mean of its divisors is an integer number (3345611665760).

Almost surely, 2200112221211100 is an apocalyptic number.

200112221211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200112221211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240884039934720).

200112221211100 is an abundant number, since it is smaller than the sum of its proper divisors (281655858658340).

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

200112221211100 is a wasteful number, since it uses less digits than its factorization.

200112221211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119900 (or 119893 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 200112221211100 its reverse (1112122211002), we get a palindrome (201224343422102).

The spelling of 200112221211100 in words is "two hundred trillion, one hundred twelve billion, two hundred twenty-one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 12980 16225 32450 37423 64900 74846 82393 149692 164786 187115 329572 374230 411653 411965 748460 823306 823930 906323 935575 1646612 1647860 1812646 1871150 2058265 2059825 2207957 3625292 3742300 4116530 4119650 4415914 4531615 4861187 8233060 8239300 8831828 9063230 9722374 10291325 11039785 18126460 19444748 20582650 22079570 22658075 24287527 24305935 41165300 44159140 45316150 48575054 48611870 53473057 55198925 90632300 97150108 97223740 106946114 110397850 121437635 121529675 213892228 220795700 242875270 243059350 267365285 485750540 486118700 534730570 607188175 1069461140 1214376350 1336826425 2428752700 2673652850 3083393239 5347305700 6166786478 12333572956 15416966195 30833932390 33917325629 61667864780 67834651258 77084830975 135669302516 154169661950 169586628145 181920201101 308339323900 339173256290 363840402202 678346512580 727680804404 847933140725 909601005505 1695866281450 1819202011010 2001122212111 3391732562900 3638404022020 4002244424222 4548005027525 8004488848444 9096010055050 10005611060555 18192020110100 20011222121110 40022444242220 50028055302775 100056110605550 200112221211100