Base | Representation |
---|---|
bin | 1000110000110110100… |
… | …01010011000111110000 |
3 | 1001210012112121112201102 |
4 | 10120123101103013300 |
5 | 14413130414332240 |
6 | 350154214023532 |
7 | 30516445141226 |
oct | 4303321230760 |
9 | 1053175545642 |
10 | 301105230320 |
11 | 106775064194 |
12 | 4a433647ba8 |
13 | 22517ac114b |
14 | 10805c42b16 |
15 | 7c74729815 |
hex | 461b4531f0 |
301105230320 has 80 divisors (see below), whose sum is σ = 713096010720. Its totient is φ = 118207660032.
The previous prime is 301105230317. The next prime is 301105230329. The reversal of 301105230320 is 23032501103.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 301105230292 and 301105230301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (301105230329) 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 15 ways as a sum of consecutive naturals, for example, 2860544 + ... + 2963936.
It is an arithmetic number, because the mean of its divisors is an integer number (8913700134).
Almost surely, 2301105230320 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 301105230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356548005360).
301105230320 is an abundant number, since it is smaller than the sum of its proper divisors (411990780400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
301105230320 is a wasteful number, since it uses less digits than its factorization.
301105230320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104082 (or 104076 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 20.
Adding to 301105230320 its reverse (23032501103), we get a palindrome (324137731423).
The spelling of 301105230320 in words is "three hundred one billion, one hundred five million, two hundred thirty thousand, three hundred twenty".
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