Base | Representation |
---|---|
bin | 110010000100101000111000… |
… | …100000010010000111100110 |
3 | 1001212201221011011212022102102 |
4 | 302010220320200102013212 |
5 | 212331100303341401042 |
6 | 2100212102140012102 |
7 | 64246310116015550 |
oct | 6204507040220746 |
9 | 1055657134768372 |
10 | 220221101122022 |
11 | 64195276481900 |
12 | 208483a9231032 |
13 | 95b59b7420cb0 |
14 | 3c54a8859a4d0 |
15 | 1a6d6c9b1db32 |
hex | c84a388121e6 |
220221101122022 has 48 divisors (see below), whose sum is σ = 446882234489376. Its totient is φ = 79200396000000.
The previous prime is 220221101122013. The next prime is 220221101122051.
220221101122022 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 220221101121985 and 220221101122003.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5000002979 + ... + 5000047022.
It is an arithmetic number, because the mean of its divisors is an integer number (9310046551862).
Almost surely, 2220221101122022 is an apocalyptic number.
220221101122022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
220221101122022 is an abundant number, since it is smaller than the sum of its proper divisors (226661133367354).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220221101122022 is a wasteful number, since it uses less digits than its factorization.
220221101122022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10000050045 (or 10000050034 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
It can be divided in two parts, 22022110 and 1122022, that added together give a palindrome (23144132).
The spelling of 220221101122022 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, twenty-two".
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