[guard-of-terra]

"a lot of properties of number systems behave as if they are random"

Choosing a weird base (and yes, base ten is weird) certainly contributes to this effect.

[Jacqued]

This looks like an interesting perspective. Do you have any pointers to discussions of topics that become more intuitive/clearer when thought about in other bases ?

[guard-of-terra]

The whole topic of "why does this random (in base 10) number suddently behaves strange" doesn't exist in e.g. base 2.