Base | Representation |
---|---|
bin | 110010000101110011100110… |
… | …000011011111111000010010 |
3 | 1001220000121012221000111010000 |
4 | 302011303212003133320102 |
5 | 212333404101442114442 |
6 | 2100313010312350430 |
7 | 64255150064101020 |
oct | 6205634603377022 |
9 | 1056017187014100 |
10 | 220301322223122 |
11 | 642162a2173468 |
12 | 2085ba570a5416 |
13 | 95c04302ba75a |
14 | 3c588d884b710 |
15 | 1a70822713d4c |
hex | c85ce60dfe12 |
220301322223122 has 640 divisors, whose sum is σ = 598597296979968. Its totient is φ = 59240959113600.
The previous prime is 220301322223111. The next prime is 220301322223201. The reversal of 220301322223122 is 221322223103022.
220301322223122 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 0 + 1 + 322 + 22 + 312 + 2 = 666.
220301322223122 is digitally balanced in base 2, 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 (27).
It is an unprimeable number.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 92914938597 + ... + 92914940967.
Almost surely, 2220301322223122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 220301322223122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299298648489984).
220301322223122 is an abundant number, since it is smaller than the sum of its proper divisors (378295974756846).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220301322223122 is a wasteful number, since it uses less digits than its factorization.
220301322223122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2976 (or 2967 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 220301322223122 its reverse (221322223103022), we get a palindrome (441623545326144).
The spelling of 220301322223122 in words is "two hundred twenty trillion, three hundred one billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty-two".
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