Bloom Filter question:

1. Imagine you want to store 100000 integers with 1 10 7 digits. How many bits do you need to store all of these integers directly?

2. Using the math above, how many bits do we need to store 100000 items in a Bloom Filter with false positive probability < .1%, using 5 hash functions? How much storage space do you save by switching to a Bloom Filter?