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212002221100200 = 233521971793589011
BaseRepresentation
bin110000001101000010011101…
…000101001000110010101000
31000210122012210022002202001020
4300031002131011020302220
5210241421022100201300
62030520250441252440
762440440446350026
oct6015023505106250
91023565708082036
10212002221100200
1161606700a19653
121b93b54aa94120
13913a953b8a22b
143a4cd685b3716
1519799e6e988a0
hexc0d09d148ca8

212002221100200 has 96 divisors (see below), whose sum is σ = 660542961339360. Its totient is φ = 56246951353600.

The previous prime is 212002221100139. The next prime is 212002221100211. The reversal of 212002221100200 is 2001122200212.

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 212002221100200.

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, 896676306 + ... + 896912705.

It is an arithmetic number, because the mean of its divisors is an integer number (6880655847285).

Almost surely, 2212002221100200 is an apocalyptic number.

212002221100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002221100200 is an abundant number, since it is smaller than the sum of its proper divisors (448540740239160).

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

212002221100200 is a wasteful number, since it uses less digits than its factorization.

212002221100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793589227 (or 1793589218 counting only the distinct ones).

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

Adding to 212002221100200 its reverse (2001122200212), we get a palindrome (214003343300412).

The spelling of 212002221100200 in words is "two hundred twelve trillion, two billion, two hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 197 200 300 394 591 600 788 985 1182 1576 1970 2364 2955 3940 4728 4925 5910 7880 9850 11820 14775 19700 23640 29550 39400 59100 118200 1793589011 3587178022 5380767033 7174356044 8967945055 10761534066 14348712088 17935890110 21523068132 26903835165 35871780220 43046136264 44839725275 53807670330 71743560440 89679450550 107615340660 134519175825 179358901100 215230681320 269038351650 353337035167 358717802200 538076703300 706674070334 1060011105501 1076153406600 1413348140668 1766685175835 2120022211002 2826696281336 3533370351670 4240044422004 5300055527505 7066740703340 8480088844008 8833425879175 10600111055010 14133481406680 17666851758350 21200222110020 26500277637525 35333703516700 42400444220040 53000555275050 70667407033400 106001110550100 212002221100200