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220212122202020 = 225132350597279061
BaseRepresentation
bin110010000100100000100001…
…010100011010111110100100
31001212201001222102102220201202
4302010200201110122332210
5212330423411240431040
62100204015150342032
764245541450322324
oct6204404124327644
91055631872386652
10220212122202020
1164191489079363
12208467021ba918
1395b4bb6141890
143c54475cb1284
151a6d351708015
hexc8482151afa4

220212122202020 has 96 divisors (see below), whose sum is σ = 519773942096640. Its totient is φ = 77758529333760.

The previous prime is 220212122201999. The next prime is 220212122202031. The reversal of 220212122202020 is 20202221212022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220212122201983 and 220212122202001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26613290 + ... + 33892350.

It is an arithmetic number, because the mean of its divisors is an integer number (5414311896840).

Almost surely, 2220212122202020 is an apocalyptic number.

220212122202020 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 220212122202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259886971048320).

220212122202020 is an abundant number, since it is smaller than the sum of its proper divisors (299561819894620).

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

220212122202020 is a wasteful number, since it uses less digits than its factorization.

220212122202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284165 (or 7284163 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220212122202020 its reverse (20202221212022), we get a palindrome (240414343414042).

The spelling of 220212122202020 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5059 5980 10118 20236 25295 50590 65767 101180 116357 131534 232714 263068 328835 465428 581785 657670 1163570 1315340 1512641 2327140 3025282 6050564 7279061 7563205 14558122 15126410 29116244 30252820 36395305 72790610 94627793 145581220 167418403 189255586 334836806 378511172 473138965 669673612 837092015 946277930 1674184030 1892555860 2176439239 3348368060 4352878478 8705756956 10882196195 21764392390 36824769599 43528784780 73649539198 147299078396 184123847995 368247695990 478722004787 736495391980 846969700777 957444009574 1693939401554 1914888019148 2393610023935 3387878803108 4234848503885 4787220047870 8469697007770 9574440095740 11010606110101 16939394015540 22021212220202 44042424440404 55053030550505 110106061101010 220212122202020