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21220120200 = 2335210123467
BaseRepresentation
bin10011110000110100…
…010101011010001000
32000202212101210111210
4103300310111122020
5321424322321300
613425352453120
71350566021436
oct236064253210
960685353453
1021220120200
118aaa228424
1241426aa1a0
1320023c5156
141054371d56
15842e2d050
hex4f0d15688

21220120200 has 144 divisors (see below), whose sum is σ = 66459295440. Its totient is φ = 5601056000.

The previous prime is 21220120199. The next prime is 21220120219. The reversal of 21220120200 is 202102212.

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 35 ways as a sum of consecutive naturals, for example, 6118867 + ... + 6122333.

It is an arithmetic number, because the mean of its divisors is an integer number (461522885).

Almost surely, 221220120200 is an apocalyptic number.

21220120200 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 21220120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33229647720).

21220120200 is an abundant number, since it is smaller than the sum of its proper divisors (45239175240).

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

21220120200 is a wasteful number, since it uses less digits than its factorization.

21220120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3578 counting only the distinct ones).

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

Adding to 21220120200 its reverse (202102212), we get a palindrome (21422222412).

The spelling of 21220120200 in words is "twenty-one billion, two hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 3467 4040 5050 6060 6934 7575 10100 10201 10401 12120 13868 15150 17335 20200 20402 20802 27736 30300 30603 34670 40804 41604 51005 52005 60600 61206 69340 81608 83208 86675 102010 104010 122412 138680 153015 173350 204020 208020 244824 255025 260025 306030 346700 350167 408040 416040 510050 520050 612060 693400 700334 765075 1020100 1040100 1050501 1224120 1400668 1530150 1750835 2040200 2080200 2101002 2801336 3060300 3501670 4202004 5252505 6120600 7003340 8404008 8754175 10505010 14006680 17508350 21010020 26262525 35016700 35366867 42020040 52525050 70033400 70733734 105050100 106100601 141467468 176834335 210100200 212201202 282934936 353668670 424402404 530503005 707337340 848804808 884171675 1061006010 1414674680 1768343350 2122012020 2652515025 3536686700 4244024040 5305030050 7073373400 10610060100 21220120200