Base | Representation |
---|---|
bin | 1010100011110100101010… |
… | …11010110010100000111101 |
3 | 10001012220201101110001100100 |
4 | 11101322111122302200331 |
5 | 11020423303101430023 |
6 | 121215343122351313 |
7 | 4614445335356334 |
oct | 521722532624075 |
9 | 101186641401310 |
10 | 23221100030013 |
11 | 7443016659846 |
12 | 27304a34bb539 |
13 | cc598169bc62 |
14 | 5a3c9b666d1b |
15 | 2a407a159c43 |
hex | 151e956b283d |
23221100030013 has 24 divisors (see below), whose sum is σ = 35518274740728. Its totient is φ = 14568604065792.
The previous prime is 23221100029909. The next prime is 23221100030039. The reversal of 23221100030013 is 31003000112232.
23221100030013 is a `hidden beast` number, since 232 + 21 + 100 + 0 + 300 + 13 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 12239551229049 + 10981548800964 = 3498507^2 + 3313842^2 .
It is not a de Polignac number, because 23221100030013 - 218 = 23221099767869 is a prime.
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23221100030053) 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, 6307620 + ... + 9285917.
It is an arithmetic number, because the mean of its divisors is an integer number (1479928114197).
Almost surely, 223221100030013 is an apocalyptic number.
It is an amenable number.
23221100030013 is a deficient number, since it is larger than the sum of its proper divisors (12297174710715).
23221100030013 is a wasteful number, since it uses less digits than its factorization.
23221100030013 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15603293 (or 15603290 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 23221100030013 its reverse (31003000112232), we get a palindrome (54224100142245).
The spelling of 23221100030013 in words is "twenty-three trillion, two hundred twenty-one billion, one hundred million, thirty thousand, thirteen".
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