Base | Representation |
---|---|
bin | 11101101111110101000… |
… | …00100110101000100001 |
3 | 10121201020121110212202200 |
4 | 32313322200212220201 |
5 | 113221240141200001 |
6 | 2101314554403413 |
7 | 133562561333664 |
oct | 16677240465041 |
9 | 3551217425680 |
10 | 1022110100001 |
11 | 364524561311 |
12 | 146112730569 |
13 | 754ccb89553 |
14 | 37682a876db |
15 | 1b8c2892086 |
hex | edfa826a21 |
1022110100001 has 12 divisors (see below), whose sum is σ = 1476437995812. Its totient is φ = 681380545536.
The previous prime is 1022110099943. The next prime is 1022110100057. The reversal of 1022110100001 is 1000010112201.
It is a happy number.
1022110100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 906210706401 + 115899393600 = 951951^2 + 340440^2 .
It is not a de Polignac number, because 1022110100001 - 222 = 1022105905697 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1022110100071) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1933636 + ... + 2404821.
It is an arithmetic number, because the mean of its divisors is an integer number (123036499651).
Almost surely, 21022110100001 is an apocalyptic number.
It is an amenable number.
1022110100001 is a deficient number, since it is larger than the sum of its proper divisors (454327895811).
1022110100001 is a wasteful number, since it uses less digits than its factorization.
1022110100001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4364640 (or 4364637 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 1022110100001 its reverse (1000010112201), we get a palindrome (2022120212202).
The spelling of 1022110100001 in words is "one trillion, twenty-two billion, one hundred ten million, one hundred thousand, one".
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