Base | Representation |
---|---|
bin | 1010000000111011110001… |
… | …01000001010111100101000 |
3 | 2212222022110102102220012020 |
4 | 11000131320220022330220 |
5 | 10341303203201414422 |
6 | 114500525322144440 |
7 | 4432026434652432 |
oct | 500357050127450 |
9 | 85868412386166 |
10 | 22022321123112 |
11 | 7020683176002 |
12 | 25780a6952120 |
13 | c3990808255b |
14 | 561c5939d652 |
15 | 282cb777495c |
hex | 140778a0af28 |
22022321123112 has 128 divisors (see below), whose sum is σ = 58701440655360. Its totient is φ = 6868749381120.
The previous prime is 22022321123111. The next prime is 22022321123113. The reversal of 22022321123112 is 21132112322022.
22022321123112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (22022321123111) and next prime (22022321123113).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (22022321123111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51493437 + ... + 51919347.
It is an arithmetic number, because the mean of its divisors is an integer number (458605005120).
Almost surely, 222022321123112 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 22022321123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29350720327680).
22022321123112 is an abundant number, since it is smaller than the sum of its proper divisors (36679119532248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22022321123112 is a wasteful number, since it uses less digits than its factorization.
22022321123112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 427983 (or 427979 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
Adding to 22022321123112 its reverse (21132112322022), we get a palindrome (43154433445134).
The spelling of 22022321123112 in words is "twenty-two trillion, twenty-two billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred twelve".
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