Base | Representation |
---|---|
bin | 1010000011001110100111… |
… | …11100010001100101011101 |
3 | 2220020211222000110101211100 |
4 | 11001213103330101211131 |
5 | 10344101140101444130 |
6 | 115001044531143313 |
7 | 4440520260610104 |
oct | 501472374214535 |
9 | 86224860411740 |
10 | 22101162531165 |
11 | 7051061088883 |
12 | 258b42a744b39 |
13 | c441911605b3 |
14 | 5659b830703b |
15 | 284d7e186c60 |
hex | 1419d3f1195d |
22101162531165 has 24 divisors (see below), whose sum is σ = 38377458571608. Its totient is φ = 11766124575360.
The previous prime is 22101162531083. The next prime is 22101162531167. The reversal of 22101162531165 is 56113526110122.
22101162531165 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 1 + 1 + 62 + 531 + 1 + 65 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2171134469529 + 19930028061636 = 1473477^2 + 4464306^2 .
It is not a de Polignac number, because 22101162531165 - 29 = 22101162530653 is a prime.
It is a super-2 number, since 2×221011625311652 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22101162531167) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 440851906 + ... + 440902035.
It is an arithmetic number, because the mean of its divisors is an integer number (1599060773817).
Almost surely, 222101162531165 is an apocalyptic number.
It is an amenable number.
22101162531165 is a deficient number, since it is larger than the sum of its proper divisors (16276296040443).
22101162531165 is a wasteful number, since it uses less digits than its factorization.
22101162531165 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 881754509 (or 881754506 counting only the distinct ones).
The product of its (nonzero) digits is 21600, while the sum is 36.
Adding to 22101162531165 its reverse (56113526110122), we get a palindrome (78214688641287).
The spelling of 22101162531165 in words is "twenty-two trillion, one hundred one billion, one hundred sixty-two million, five hundred thirty-one thousand, one hundred sixty-five".
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