Base | Representation |
---|---|
bin | 10001111000011… |
… | …101011001000000 |
3 | 202220112020122001 |
4 | 101320131121000 |
5 | 1103300404440 |
6 | 45434153344 |
7 | 10302032551 |
oct | 2170353100 |
9 | 686466561 |
10 | 300013120 |
11 | 144393330 |
12 | 84582854 |
13 | 4a203a74 |
14 | 2bbb8328 |
15 | 1b512b9a |
hex | 11e1d640 |
300013120 has 112 divisors (see below), whose sum is σ = 806500800. Its totient is φ = 105297920.
The previous prime is 300013099. The next prime is 300013121. The reversal of 300013120 is 21310003.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 300013097 and 300013106.
It is not an unprimeable number, because it can be changed into a prime (300013121) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100611 + ... + 103549.
It is an arithmetic number, because the mean of its divisors is an integer number (7200900).
Almost surely, 2300013120 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 300013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403250400).
300013120 is an abundant number, since it is smaller than the sum of its proper divisors (506487680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
300013120 is a wasteful number, since it uses less digits than its factorization.
300013120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2996 (or 2986 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 10.
The square root of 300013120 is about 17320.8868133245. The cubic root of 300013120 is about 669.4427087847.
Adding to 300013120 its reverse (21310003), we get a palindrome (321323123).
The spelling of 300013120 in words is "three hundred million, thirteen thousand, one hundred twenty".
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