Base | Representation |
---|---|
bin | 10100100111001010… |
… | …111011100100001001 |
3 | 2010010102021202201002 |
4 | 110213022323210021 |
5 | 330311243411241 |
6 | 14100045504345 |
7 | 1412311003115 |
oct | 244712734411 |
9 | 63112252632 |
10 | 22132013321 |
11 | 9427a43200 |
12 | 4357b720b5 |
13 | 21192c3c92 |
14 | 10dd506745 |
15 | 89800889b |
hex | 5272bb909 |
22132013321 has 24 divisors (see below), whose sum is σ = 24812919432. Its totient is φ = 19718899200.
The previous prime is 22132013311. The next prime is 22132013341. The reversal of 22132013321 is 12331023122.
It can be written as a sum of positive squares in 4 ways, for example, as 3527053321 + 18604960000 = 59389^2 + 136400^2 .
It is not a de Polignac number, because 22132013321 - 210 = 22132012297 is a prime.
It is a Duffinian number.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 22132013293 and 22132013302.
It is not an unprimeable number, because it can be changed into a prime (22132013311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10240481 + ... + 10242641.
It is an arithmetic number, because the mean of its divisors is an integer number (1033871643).
Almost surely, 222132013321 is an apocalyptic number.
It is an amenable number.
22132013321 is a deficient number, since it is larger than the sum of its proper divisors (2680906111).
22132013321 is a wasteful number, since it uses less digits than its factorization.
22132013321 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3833 (or 3822 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 22132013321 its reverse (12331023122), we get a palindrome (34463036443).
The spelling of 22132013321 in words is "twenty-two billion, one hundred thirty-two million, thirteen thousand, three hundred twenty-one".
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