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20222120100200 = 2352792404353233
BaseRepresentation
bin1001001100100010101000…
…10010010000000101101000
32122121012211022121201010112
410212101110102100011220
510122304400221201300
6111001525210433452
74154666662513634
oct446212422200550
978535738551115
1020222120100200
116497175674987
122327223132888
13b38c262b55a5
144dca82023dc4
1525105525de35
hex126454490168

20222120100200 has 96 divisors (see below), whose sum is σ = 47614448611200. Its totient is φ = 7985975362560.

The previous prime is 20222120100187. The next prime is 20222120100223. The reversal of 20222120100200 is 200102122202.

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, 379852784 + ... + 379906016.

It is an arithmetic number, because the mean of its divisors is an integer number (495983839700).

Almost surely, 220222120100200 is an apocalyptic number.

20222120100200 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 20222120100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23807224305600).

20222120100200 is an abundant number, since it is smaller than the sum of its proper divisors (27392328511000).

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

20222120100200 is a wasteful number, since it uses less digits than its factorization.

20222120100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77371 (or 77362 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20222120100200 its reverse (200102122202), we get a palindrome (20422222222402).

The spelling of 20222120100200 in words is "twenty trillion, two hundred twenty-two billion, one hundred twenty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3950 7900 15800 24043 48086 53233 96172 106466 120215 192344 212932 240430 266165 425864 480860 532330 601075 961720 1064660 1202150 1330825 1899397 2129320 2404300 2661650 3798794 4205407 4808600 5323300 7597588 8410814 9496985 10646600 15195176 16821628 18993970 21027035 33643256 37987940 42054070 47484925 75975880 84108140 94969850 105135175 168216280 189939700 210270350 379879400 420540700 841081400 1279881019 2559762038 5119524076 6399405095 10239048152 12798810190 25597620380 31997025475 51195240760 63994050950 101110600501 127988101900 202221201002 255976203800 404442402004 505553002505 808884804008 1011106005010 2022212010020 2527765012525 4044424020040 5055530025050 10111060050100 20222120100200