Base | Representation |
---|---|
bin | 1100111111000111011… |
… | …0110110111110101010 |
3 | 210022212021221012101100 |
4 | 3033301312312332222 |
5 | 12123402330201442 |
6 | 250254033102230 |
7 | 22055436253506 |
oct | 3176166667652 |
9 | 708767835340 |
10 | 223101022122 |
11 | 86686790020 |
12 | 372a40b7976 |
13 | 180662bc134 |
14 | ab26189306 |
15 | 5c0b58b84c |
hex | 33f1db6faa |
223101022122 has 96 divisors (see below), whose sum is σ = 532051752960. Its totient is φ = 67003702560.
The previous prime is 223101022087. The next prime is 223101022127. The reversal of 223101022122 is 221220101322.
It is a super-3 number, since 3×2231010221223 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 223101022095 and 223101022104.
It is not an unprimeable number, because it can be changed into a prime (223101022127) 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, 10011829 + ... + 10034087.
It is an arithmetic number, because the mean of its divisors is an integer number (5542205760).
Almost surely, 2223101022122 is an apocalyptic number.
223101022122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 223101022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266025876480).
223101022122 is an abundant number, since it is smaller than the sum of its proper divisors (308950730838).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223101022122 is a wasteful number, since it uses less digits than its factorization.
223101022122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22728 (or 22725 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 223101022122 its reverse (221220101322), we get a palindrome (444321123444).
The spelling of 223101022122 in words is "two hundred twenty-three billion, one hundred one million, twenty-two thousand, one hundred twenty-two".
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