Base | Representation |
---|---|
bin | 1010000000100101000011… |
… | …00000100110010111000100 |
3 | 2212221010222020211102111100 |
4 | 11000102201200212113010 |
5 | 10341103212224232322 |
6 | 114451151022540100 |
7 | 4431115226000016 |
oct | 500224140462704 |
9 | 85833866742440 |
10 | 22010122102212 |
11 | 7016493140052 |
12 | 2575861437630 |
13 | c387129172aa |
14 | 56141d1761b6 |
15 | 2828017dedac |
hex | 1404a18265c4 |
22010122102212 has 144 divisors (see below), whose sum is σ = 59774697650304. Its totient is φ = 6804362880000.
The previous prime is 22010122102141. The next prime is 22010122102219. The reversal of 22010122102212 is 21220122101022.
It is a happy number.
22010122102212 is a `hidden beast` number, since 220 + 1 + 0 + 1 + 221 + 0 + 221 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (22010122102219) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12198537 + ... + 13886127.
It is an arithmetic number, because the mean of its divisors is an integer number (415102067016).
Almost surely, 222010122102212 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22010122102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29887348825152).
22010122102212 is an abundant number, since it is smaller than the sum of its proper divisors (37764575548092).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22010122102212 is a wasteful number, since it uses less digits than its factorization.
22010122102212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1687930 (or 1687925 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22010122102212 its reverse (21220122101022), we get a palindrome (43230244203234).
The spelling of 22010122102212 in words is "twenty-two trillion, ten billion, one hundred twenty-two million, one hundred two thousand, two hundred twelve".
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