Base | Representation |
---|---|
bin | 11101101111110110011… |
… | …10000010101001010110 |
3 | 10121201021102220000220000 |
4 | 32313323032002221112 |
5 | 113221301213324342 |
6 | 2101320101552130 |
7 | 133563064513404 |
oct | 16677316025126 |
9 | 3551242800800 |
10 | 1022122011222 |
11 | 3645302573a4 |
12 | 146116715646 |
13 | 7550249a000 |
14 | 376844a8474 |
15 | 1b8c394644c |
hex | edfb382a56 |
1022122011222 has 160 divisors (see below), whose sum is σ = 2503940023200. Its totient is φ = 311601940416.
The previous prime is 1022122011221. The next prime is 1022122011257. The reversal of 1022122011222 is 2221102212201.
It is a happy number.
1022122011222 is a `hidden beast` number, since 1 + 0 + 221 + 220 + 1 + 1 + 222 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1022122011195 and 1022122011204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1022122011221) 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 79 ways as a sum of consecutive naturals, for example, 38781453 + ... + 38807799.
It is an arithmetic number, because the mean of its divisors is an integer number (15649625145).
Almost surely, 21022122011222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1022122011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251970011600).
1022122011222 is an abundant number, since it is smaller than the sum of its proper divisors (1481818011978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022122011222 is a wasteful number, since it uses less digits than its factorization.
1022122011222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26509 (or 26474 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 1022122011222 its reverse (2221102212201), we get a palindrome (3243224223423).
The spelling of 1022122011222 in words is "one trillion, twenty-two billion, one hundred twenty-two million, eleven thousand, two hundred twenty-two".
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