Base | Representation |
---|---|
bin | 1010000011110001101110… |
… | …11001111001011011100000 |
3 | 2220022122121121101102022220 |
4 | 11001320313121321123200 |
5 | 10344403240321010422 |
6 | 115013443125431040 |
7 | 4442055332104236 |
oct | 501706731713340 |
9 | 86278547342286 |
10 | 22120011110112 |
11 | 7059053671153 |
12 | 259300ab6b480 |
13 | c45ba61223a6 |
14 | 566885706956 |
15 | 2855d3cb0e5c |
hex | 141e376796e0 |
22120011110112 has 48 divisors (see below), whose sum is σ = 58065728046480. Its totient is φ = 7373248289792.
The previous prime is 22120011109993. The next prime is 22120011110149. The reversal of 22120011110112 is 21101111002122.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-3 number, since 3×221200111101123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 22120011110091 and 22120011110100.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6886564 + ... + 9574172.
It is an arithmetic number, because the mean of its divisors is an integer number (1209702667635).
Almost surely, 222120011110112 is an apocalyptic number.
It is an amenable number.
22120011110112 is an abundant number, since it is smaller than the sum of its proper divisors (35945716936368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22120011110112 is a wasteful number, since it uses less digits than its factorization.
22120011110112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2773355 (or 2773347 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 22120011110112 its reverse (21101111002122), we get a palindrome (43221122112234).
The spelling of 22120011110112 in words is "twenty-two trillion, one hundred twenty billion, eleven million, one hundred ten thousand, one hundred twelve".
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