Base | Representation |
---|---|
bin | 1000110000101110111… |
… | …00010010101100111001 |
3 | 1001210001001202110211200 |
4 | 10120113130102230321 |
5 | 14413012444101241 |
6 | 350144001244413 |
7 | 30515035210422 |
oct | 4302734225471 |
9 | 1053031673750 |
10 | 301041003321 |
11 | 106741886523 |
12 | 4a416033709 |
13 | 225076c41c6 |
14 | 107db4c4649 |
15 | 7c6dc8e4b6 |
hex | 4617712b39 |
301041003321 has 48 divisors (see below), whose sum is σ = 473110419600. Its totient is φ = 183685791744.
The previous prime is 301041003259. The next prime is 301041003349. The reversal of 301041003321 is 123300140103.
301041003321 is a `hidden beast` number, since 301 + 0 + 41 + 0 + 0 + 3 + 321 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 111816003321 + 189225000000 = 334389^2 + 435000^2 .
It is not a de Polignac number, because 301041003321 - 214 = 301040986937 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 301041003294 and 301041003303.
It is not an unprimeable number, because it can be changed into a prime (301041003721) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11473065 + ... + 11499273.
It is an arithmetic number, because the mean of its divisors is an integer number (9856467075).
Almost surely, 2301041003321 is an apocalyptic number.
It is an amenable number.
301041003321 is a deficient number, since it is larger than the sum of its proper divisors (172069416279).
301041003321 is a wasteful number, since it uses less digits than its factorization.
301041003321 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28298 (or 28295 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 301041003321 its reverse (123300140103), we get a palindrome (424341143424).
The spelling of 301041003321 in words is "three hundred one billion, forty-one million, three thousand, three hundred twenty-one".
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