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221120212100020 = 22515311372208177
BaseRepresentation
bin110010010001101110001111…
…101100011110001110110100
31001222220212220202210101201221
4302101232033230132032310
5212440313143244200040
62102141120104400124
764401256663152322
oct6221561754361664
91058825822711657
10221120212100020
1164501612158272
12209726b3776044
13964c71495847c
143c863bd882d12
151a86c9e08b74a
hexc91b8fb1e3b4

221120212100020 has 24 divisors (see below), whose sum is σ = 464355484584264. Its totient is φ = 88447505949696.

The previous prime is 221120212100009. The next prime is 221120212100089. The reversal of 221120212100020 is 20001212021122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32346132017956 + 188774080082064 = 5687366^2 + 13739508^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221120212099967 and 221120212100003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33041829 + ... + 39166348.

It is an arithmetic number, because the mean of its divisors is an integer number (19348145191011).

Almost surely, 2221120212100020 is an apocalyptic number.

221120212100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120212100020 is an abundant number, since it is smaller than the sum of its proper divisors (243235272484244).

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

221120212100020 is a wasteful number, since it uses less digits than its factorization.

221120212100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72361299 (or 72361297 counting only the distinct ones).

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

Adding to 221120212100020 its reverse (20001212021122), we get a palindrome (241121424121142).

The spelling of 221120212100020 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twelve million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 153113 306226 612452 765565 1531130 3062260 72208177 144416354 288832708 361040885 722081770 1444163540 11056010605001 22112021210002 44224042420004 55280053025005 110560106050010 221120212100020