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201220212110220 = 223252311600780527
BaseRepresentation
bin101101110000001000111011…
…010000111011001110001100
3222101110110112112222202022200
4231300020323100323032030
5202333242443300011340
61551543142253441500
760245452303160562
oct5560107320731614
9871413475882280
10201220212110220
115912a015a32a66
121a6999a9aa0290
138837ca5188a04
143799178689a32
15183e2ed443330
hexb7023b43b38c

201220212110220 has 144 divisors (see below), whose sum is σ = 610741328590848. Its totient is φ = 53625909617280.

The previous prime is 201220212110209. The next prime is 201220212110221. The reversal of 201220212110220 is 22011212022102.

It is a happy number.

201220212110220 is a `hidden beast` number, since 2 + 0 + 1 + 220 + 212 + 1 + 10 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201220212110193 and 201220212110202.

It is not an unprimeable number, because it can be changed into a prime (201220212110221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2498751597 + ... + 2498832123.

Almost surely, 2201220212110220 is an apocalyptic number.

201220212110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220212110220 is an abundant number, since it is smaller than the sum of its proper divisors (409521116480628).

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

201220212110220 is a wasteful number, since it uses less digits than its factorization.

201220212110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88860 (or 88855 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201220212110220 its reverse (22011212022102), we get a palindrome (223231424132322).

The spelling of 201220212110220 in words is "two hundred one trillion, two hundred twenty billion, two hundred twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2311 4622 6007 6933 9244 11555 12014 13866 18021 20799 23110 24028 27732 30035 34665 36042 41598 46220 54063 60070 69330 72084 80527 83196 90105 103995 108126 120140 138660 161054 180210 207990 216252 241581 270315 322108 360420 402635 415980 483162 540630 724743 805270 966324 1081260 1207905 1449486 1610540 2415810 2898972 3623715 4831620 7247430 13882177 14494860 27764354 41646531 55528708 69410885 83293062 124939593 138821770 166586124 186097897 208232655 249879186 277643540 372195794 416465310 483725689 499758372 558293691 624697965 744391588 832930620 930489485 967451378 1116587382 1249395930 1451177067 1674881073 1860978970 1934902756 2233174764 2418628445 2498791860 2791468455 2902354134 3349762146 3721957940 4353531201 4837256890 5582936910 5804708268 6699524292 7255885335 8374405365 8707062402 9674513780 11165873820 14511770670 16748810730 17414124804 21767656005 29023541340 33497621460 43535312010 87070624020 1117890067279 2235780134558 3353670201837 4471560269116 5589450336395 6707340403674 10061010605511 11178900672790 13414680807348 16768351009185 20122021211022 22357801345580 33536702018370 40244042422044 50305053027555 67073404036740 100610106055110 201220212110220