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201120021110020 = 225176015867167759
BaseRepresentation
bin101101101110101011100111…
…011010100101110100000100
3222101002212221001221121001111
4231232223213122211310010
5202330122300401010040
61551425132344534404
760235304416550305
oct5556534732456404
9871085831847044
10201120021110020
11590a0581801661
121a6824a8181404
13882b6c8c234cc
14379439210a7ac
15183b8d757adea
hexb6eae76a5d04

201120021110020 has 96 divisors (see below), whose sum is σ = 448019388956160. Its totient is φ = 75576455270400.

The previous prime is 201120021109963. The next prime is 201120021110081. The reversal of 201120021110020 is 20011120021102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198778901 + ... + 1198946659.

It is an arithmetic number, because the mean of its divisors is an integer number (4666868634960).

Almost surely, 2201120021110020 is an apocalyptic number.

201120021110020 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 201120021110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224009694478080).

201120021110020 is an abundant number, since it is smaller than the sum of its proper divisors (246899367846140).

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

201120021110020 is a wasteful number, since it uses less digits than its factorization.

201120021110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174253 (or 174251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201120021110020 its reverse (20011120021102), we get a palindrome (221131141131122).

The spelling of 201120021110020 in words is "two hundred one trillion, one hundred twenty billion, twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 601 1202 2404 3005 5867 6010 10217 11734 12020 20434 23468 29335 40868 51085 58670 99739 102170 117340 167759 199478 204340 335518 398956 498695 671036 838795 997390 1677590 1994780 2851903 3355180 3526067 5703806 7052134 11407612 14104268 14259515 17630335 28519030 35260670 57038060 59943139 70521340 100823159 119886278 201646318 239772556 299715695 403292636 504115795 599431390 984242053 1008231590 1198862780 1713993703 1968484106 2016463180 3427987406 3936968212 4921210265 6855974812 8569968515 9842420530 16732114901 17139937030 19684841060 33464229802 34279874060 66928459604 83660574505 167321149010 334642298020 591529473853 1183058947706 2366117895412 2957647369265 5915294738530 10056001055501 11830589477060 20112002111002 40224004222004 50280005277505 100560010555010 201120021110020