Base | Representation |
---|---|
bin | 10001111100011… |
… | …000000111100100 |
3 | 202222110102101100 |
4 | 101330120013210 |
5 | 1104031240400 |
6 | 45512200100 |
7 | 10313540634 |
oct | 2174300744 |
9 | 688412340 |
10 | 301040100 |
11 | 144a24979 |
12 | 84999030 |
13 | 4a4a334a |
14 | 2bda46c4 |
15 | 1b667100 |
hex | 11f181e4 |
301040100 has 108 divisors (see below), whose sum is σ = 984686976. Its totient is φ = 76781760.
The previous prime is 301040083. The next prime is 301040111. The reversal of 301040100 is 1040103.
301040100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13429 + ... + 27971.
It is an arithmetic number, because the mean of its divisors is an integer number (9117472).
Almost surely, 2301040100 is an apocalyptic number.
301040100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 301040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492343488).
301040100 is an abundant number, since it is smaller than the sum of its proper divisors (683646876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
301040100 is a wasteful number, since it uses less digits than its factorization.
301040100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14586 (or 14576 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 301040100 is about 17350.5071971974. The cubic root of 301040100 is about 670.2056990747.
Adding to 301040100 its reverse (1040103), we get a palindrome (302080203).
The spelling of 301040100 in words is "three hundred one million, forty thousand, one hundred".
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