Base | Representation |
---|---|
bin | 11101101111110101010… |
… | …00010100010100001001 |
3 | 10121201020202021121121000 |
4 | 32313322220110110021 |
5 | 113221241200401441 |
6 | 2101315110005213 |
7 | 133562614455246 |
oct | 16677250242411 |
9 | 3551222247530 |
10 | 1022112122121 |
11 | 364525712592 |
12 | 146113346809 |
13 | 75500416a7c |
14 | 376830525cd |
15 | 1b8c2b412b6 |
hex | edfaa14509 |
1022112122121 has 32 divisors (see below), whose sum is σ = 1522488240000. Its totient is φ = 677706519744.
The previous prime is 1022112122111. The next prime is 1022112122159. The reversal of 1022112122121 is 1212212112201.
1022112122121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 1022112122121 - 213 = 1022112113929 is a prime.
It is a super-3 number, since 3×10221121221213 (a number of 37 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1022112122094 and 1022112122103.
It is not an unprimeable number, because it can be changed into a prime (1022112122111) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3526126 + ... + 3804968.
It is an arithmetic number, because the mean of its divisors is an integer number (47577757500).
Almost surely, 21022112122121 is an apocalyptic number.
It is an amenable number.
1022112122121 is a deficient number, since it is larger than the sum of its proper divisors (500376117879).
1022112122121 is a wasteful number, since it uses less digits than its factorization.
1022112122121 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 279590 (or 279584 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 1022112122121 its reverse (1212212112201), we get a palindrome (2234324234322).
The spelling of 1022112122121 in words is "one trillion, twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".
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