Base | Representation |
---|---|
bin | 1000101110110011111… |
… | …11101111110000110000 |
3 | 1001200101012221200001120 |
4 | 10113121333233300300 |
5 | 14403410042010000 |
6 | 345453413502240 |
7 | 30450346600506 |
oct | 4273177576060 |
9 | 1050335850046 |
10 | 300010110000 |
11 | 106262982077 |
12 | 4a188941980 |
13 | 223a1c5b563 |
14 | 10740614676 |
15 | 7c0d5096a0 |
hex | 45d9fefc30 |
300010110000 has 200 divisors, whose sum is σ = 970609305600. Its totient is φ = 79826208000.
The previous prime is 300010109969. The next prime is 300010110007. The reversal of 300010110000 is 11010003.
It is a tau number, because it is divible by the number of its divisors (200).
It is a super-2 number, since 2×3000101100002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (300010110007) 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 39 ways as a sum of consecutive naturals, for example, 13879201 + ... + 13900799.
It is an arithmetic number, because the mean of its divisors is an integer number (4853046528).
Almost surely, 2300010110000 is an apocalyptic number.
300010110000 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 300010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485304652800).
300010110000 is an abundant number, since it is smaller than the sum of its proper divisors (670599195600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
300010110000 is a wasteful number, since it uses less digits than its factorization.
300010110000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22093 (or 22072 counting only the distinct ones).
The product of its (nonzero) digits is 3, while the sum is 6.
Adding to 300010110000 its reverse (11010003), we get a palindrome (300021120003).
The spelling of 300010110000 in words is "three hundred billion, ten million, one hundred ten thousand".
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