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201220220102020 = 22572961812485747
BaseRepresentation
bin101101110000001000111011…
…101111011010010110000100
3222101110110120010000210000021
4231300020323233122112010
5202333243002321231040
61551543143141024524
760245452431124360
oct5560107357322604
9871413503023007
10201220220102020
115912a01a4a1359
121a6999b06b5144
138837ca6a264a2
14379917976a2a0
15183e2edec124a
hexb7023bbda584

201220220102020 has 96 divisors (see below), whose sum is σ = 507771093070080. Its totient is φ = 65518850557440.

The previous prime is 201220220101973. The next prime is 201220220102023. The reversal of 201220220102020 is 20201022022102.

201220220102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201220220101985 and 201220220102003.

It is not an unprimeable number, because it can be changed into a prime (201220220102023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405995214 + ... + 406490533.

It is an arithmetic number, because the mean of its divisors is an integer number (5289282219480).

Almost surely, 2201220220102020 is an apocalyptic number.

201220220102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220220102020 is an abundant number, since it is smaller than the sum of its proper divisors (306550872968060).

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

201220220102020 is a wasteful number, since it uses less digits than its factorization.

201220220102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812485853 (or 812485851 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201220220102020 its reverse (20201022022102), we get a palindrome (221421242124122).

The spelling of 201220220102020 in words is "two hundred one trillion, two hundred twenty billion, two hundred twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 61 70 116 122 140 145 203 244 290 305 406 427 580 610 812 854 1015 1220 1708 1769 2030 2135 3538 4060 4270 7076 8540 8845 12383 17690 24766 35380 49532 61915 123830 247660 812485747 1624971494 3249942988 4062428735 5687400229 8124857470 11374800458 16249714940 22749600916 23562086663 28437001145 47124173326 49561630567 56874002290 94248346652 99123261134 113748004580 117810433315 164934606641 198246522268 235620866630 247808152835 329869213282 346931413969 471241733260 495616305670 659738426564 693862827938 824673033205 991232611340 1387725655876 1437287286443 1649346066410 1734657069845 2874574572886 3298692132820 3469314139690 5749149145772 6938628279380 7186436432215 10061011005101 14372872864430 20122022010202 28745745728860 40244044020404 50305055025505 100610110051010 201220220102020