Base | Representation |
---|---|
bin | 1010000011001110101110… |
… | …10111111000100000010000 |
3 | 2220020212010000210012120120 |
4 | 11001213113113320200100 |
5 | 10344101244321200422 |
6 | 115001054345110240 |
7 | 4440521560130436 |
oct | 501472727704020 |
9 | 86225100705516 |
10 | 22101220100112 |
11 | 705109062921a |
12 | 258b445a88380 |
13 | c441a0068b6a |
14 | 5659c1c10d56 |
15 | 284d8425945c |
hex | 1419d75f8810 |
22101220100112 has 80 divisors (see below), whose sum is σ = 58657168022400. Its totient is φ = 7165610597376.
The previous prime is 22101220100111. The next prime is 22101220100123. The reversal of 22101220100112 is 21100102210122.
It is a junction number, because it is equal to n+sod(n) for n = 22101220100091 and 22101220100100.
It is not an unprimeable number, because it can be changed into a prime (22101220100111) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3374293 + ... + 7455755.
It is an arithmetic number, because the mean of its divisors is an integer number (733214600280).
Almost surely, 222101220100112 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 22101220100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29328584011200).
22101220100112 is an abundant number, since it is smaller than the sum of its proper divisors (36555947922288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22101220100112 is a wasteful number, since it uses less digits than its factorization.
22101220100112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4084560 (or 4084554 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 22101220100112 its reverse (21100102210122), we get a palindrome (43201322310234).
The spelling of 22101220100112 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, one hundred thousand, one hundred twelve".
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