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201222112102020 = 223251151971242939
BaseRepresentation
bin101101110000001010101100…
…100000110100011010000100
3222101110122102222011100002100
4231300022230200310122010
5202333310341144231040
61551544055005112100
760245550343634352
oct5560125440643204
9871418388140070
10201222112102020
115912a900482a19
121a69a23a258630
1388382189b8909
1437992b8b507d2
15183e3b014db30
hexb702ac834684

201222112102020 has 72 divisors (see below), whose sum is σ = 610904039316480. Its totient is φ = 53612610177600.

The previous prime is 201222112102009. The next prime is 201222112102133. The reversal of 201222112102020 is 20201211222102.

It is a happy number.

201222112102020 is a `hidden beast` number, since 20 + 1 + 22 + 211 + 210 + 202 + 0 = 666.

201222112102020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 201222112101984 and 201222112102002.

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 23 ways as a sum of consecutive naturals, for example, 485414290 + ... + 485828649.

It is an arithmetic number, because the mean of its divisors is an integer number (8484778323840).

Almost surely, 2201222112102020 is an apocalyptic number.

201222112102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222112102020 is an abundant number, since it is smaller than the sum of its proper divisors (409681927214460).

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

201222112102020 is a wasteful number, since it uses less digits than its factorization.

201222112102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971244105 (or 971244100 counting only the distinct ones).

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

Adding to 201222112102020 its reverse (20201211222102), we get a palindrome (221423323324122).

The spelling of 201222112102020 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1151 2302 3453 4604 5755 6906 10359 11510 13812 17265 20718 23020 34530 41436 51795 69060 103590 207180 971242939 1942485878 2913728817 3884971756 4856214695 5827457634 8741186451 9712429390 11654915268 14568644085 17482372902 19424858780 29137288170 34964745804 43705932255 58274576340 87411864510 174823729020 1117900622789 2235801245578 3353701868367 4471602491156 5589503113945 6707403736734 10061105605101 11179006227890 13414807473468 16768509341835 20122211210202 22358012455780 33537018683670 40244422420404 50305528025505 67074037367340 100611056051010 201222112102020