Base | Representation |
---|---|
bin | 1010000011010000001101… |
… | …00101001101010000001000 |
3 | 2220020221011020010002112000 |
4 | 11001220012211031100020 |
5 | 10344104410100401440 |
6 | 115001305120551000 |
7 | 4440550315165500 |
oct | 501500645152010 |
9 | 86227136102460 |
10 | 22102012122120 |
11 | 7051457710067 |
12 | 258b627182460 |
13 | c44298187638 |
14 | 565a590a0a00 |
15 | 284dcda57730 |
hex | 141a0694d408 |
22102012122120 has 768 divisors, whose sum is σ = 86113949644800. Its totient is φ = 5027648693760.
The previous prime is 22102012122103. The next prime is 22102012122121. The reversal of 22102012122120 is 2122121020122.
It is a happy number.
22102012122120 is a `hidden beast` number, since 2 + 210 + 201 + 212 + 21 + 20 = 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 = 22102012122093 and 22102012122102.
It is not an unprimeable number, because it can be changed into a prime (22102012122121) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18620060167 + ... + 18620061353.
It is an arithmetic number, because the mean of its divisors is an integer number (112127538600).
Almost surely, 222102012122120 is an apocalyptic number.
22102012122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22102012122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43056974822400).
22102012122120 is an abundant number, since it is smaller than the sum of its proper divisors (64011937522680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22102012122120 is a wasteful number, since it uses less digits than its factorization.
22102012122120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2615 (or 2598 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22102012122120 its reverse (2122121020122), we get a palindrome (24224133142242).
The spelling of 22102012122120 in words is "twenty-two trillion, one hundred two billion, twelve million, one hundred twenty-two thousand, one hundred twenty".
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