Base | Representation |
---|---|
bin | 1010000011100011000001… |
… | …00101100110101000100000 |
3 | 2220021220020010000122101100 |
4 | 11001301200211212220200 |
5 | 10344241101200010422 |
6 | 115010055234434400 |
7 | 4441355515522563 |
oct | 501614045465040 |
9 | 86256203018340 |
10 | 22112112110112 |
11 | 705576a908582 |
12 | 2591585732a00 |
13 | c452177b2cab |
14 | 5663366104da |
15 | 2852c05b67ac |
hex | 141c60966a20 |
22112112110112 has 144 divisors (see below), whose sum is σ = 64207990337400. Its totient is φ = 7216670785536.
The previous prime is 22112112110107. The next prime is 22112112110159. The reversal of 22112112110112 is 21101121121122.
It is a happy number.
22112112110112 is a `hidden beast` number, since 221 + 121 + 1 + 211 + 0 + 112 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 19747393990416 + 2364718119696 = 4443804^2 + 1537764^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958237 + ... + 6718812.
Almost surely, 222112112110112 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 22112112110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32103995168700).
22112112110112 is an abundant number, since it is smaller than the sum of its proper divisors (42095878227288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22112112110112 is a wasteful number, since it uses less digits than its factorization.
22112112110112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7677275 (or 7677264 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 22112112110112 its reverse (21101121121122), we get a palindrome (43213233231234).
The spelling of 22112112110112 in words is "twenty-two trillion, one hundred twelve billion, one hundred twelve million, one hundred ten thousand, one hundred twelve".
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