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201122102102020 = 225114969718395303
BaseRepresentation
bin101101101110101101100011…
…011100111100100000000100
3222101010002022002200221102021
4231232231203130330200010
5202330141031114231040
61551430115043452524
760235410115646341
oct5556554334744004
9871102262627367
10201122102102020
11590a144a437760
121a682989087144
13882b96b0b7618
14379450c6497c8
15183b9aa0db24a
hexb6eb6373c804

201122102102020 has 48 divisors (see below), whose sum is σ = 460761748368768. Its totient is φ = 73133834255360.

The previous prime is 201122102101997. The next prime is 201122102102087. The reversal of 201122102102020 is 20201201221102.

It is a happy number.

201122102102020 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 = 201122102101985 and 201122102102003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735689 + ... + 20130991.

It is an arithmetic number, because the mean of its divisors is an integer number (9599203091016).

Almost surely, 2201122102102020 is an apocalyptic number.

201122102102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122102102020 is an abundant number, since it is smaller than the sum of its proper divisors (259639646266748).

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

201122102102020 is a wasteful number, since it uses less digits than its factorization.

201122102102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18445020 (or 18445018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201122102102020 its reverse (20201201221102), we get a palindrome (221323303323122).

The spelling of 201122102102020 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 49697 99394 198788 248485 496970 546667 993940 1093334 2186668 2733335 5466670 10933340 18395303 36790606 73581212 91976515 183953030 202348333 367906060 404696666 809393332 1011741665 2023483330 4046966660 914191373191 1828382746382 3656765492764 4570956865955 9141913731910 10056105105101 18283827463820 20112210210202 40224420420404 50280525525505 100561051051010 201122102102020