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2002221100200 = 233524377605469
BaseRepresentation
bin11101001000101101101…
…011010110110010101000
321002102002020020102122110
4131020231223112302220
5230301022100201300
64131450242522320
7264440622354606
oct35105553266250
97072066212573
102002221100200
11702156682292
122840639663a0
13116a68772b49
146cc9d860876
1537137eb6550
hex1d22dad6ca8

2002221100200 has 96 divisors (see below), whose sum is σ = 6351231664800. Its totient is φ = 521508744960.

The previous prime is 2002221100181. The next prime is 2002221100213. The reversal of 2002221100200 is 20011222002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 38776935 + ... + 38828534.

It is an arithmetic number, because the mean of its divisors is an integer number (66158663175).

Almost surely, 22002221100200 is an apocalyptic number.

2002221100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002221100200 is an abundant number, since it is smaller than the sum of its proper divisors (4349010564600).

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

2002221100200 is a wasteful number, since it uses less digits than its factorization.

2002221100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77605531 (or 77605522 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002221100200 its reverse (20011222002), we get a palindrome (2022232322202).

The spelling of 2002221100200 in words is "two 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 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 77605469 155210938 232816407 310421876 388027345 465632814 620843752 776054690 931265628 1164082035 1552109380 1862531256 1940136725 2328164070 3104218760 3337035167 3880273450 4656328140 5820410175 6674070334 7760546900 9312656280 10011105501 11640820350 13348140668 15521093800 16685175835 20022211002 23281640700 26696281336 33370351670 40044422004 46563281400 50055527505 66740703340 80088844008 83425879175 100111055010 133481406680 166851758350 200222110020 250277637525 333703516700 400444220040 500555275050 667407033400 1001110550100 2002221100200