Base | Representation |
---|---|
bin | 1010000000111011001101… |
… | …01111101101100101101000 |
3 | 2212222021200111220122201221 |
4 | 11000131212233231211220 |
5 | 10341302044401010440 |
6 | 114500435443551424 |
7 | 4432016132620123 |
oct | 500354657554550 |
9 | 85867614818657 |
10 | 22022021110120 |
11 | 7020539892889 |
12 | 257802238b574 |
13 | c3988ab7b885 |
14 | 561c2b5c53ba |
15 | 282c9b261d4a |
hex | 140766bed968 |
22022021110120 has 128 divisors (see below), whose sum is σ = 51517219860000. Its totient is φ = 8462154903552.
The previous prime is 22022021110097. The next prime is 22022021110129. The reversal of 22022021110120 is 2101112022022.
It is a happy number.
It can be written as a sum of positive squares in 16 ways, for example, as 2957113579876 + 19064907530244 = 1719626^2 + 4366338^2 .
It is a junction number, because it is equal to n+sod(n) for n = 22022021110094 and 22022021110103.
It is not an unprimeable number, because it can be changed into a prime (22022021110129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236167666 + ... + 236260894.
Almost surely, 222022021110120 is an apocalyptic number.
22022021110120 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 22022021110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25758609930000).
22022021110120 is an abundant number, since it is smaller than the sum of its proper divisors (29495198749880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22022021110120 is a wasteful number, since it uses less digits than its factorization.
22022021110120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 94295 (or 94291 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 22022021110120 its reverse (2101112022022), we get a palindrome (24123133132142).
The spelling of 22022021110120 in words is "twenty-two trillion, twenty-two billion, twenty-one million, one hundred ten thousand, one hundred twenty".
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