Let's talk about Influence Points.
Champions first, of course.
.# of Champions at that price x the price = total
13 x 450 = 5,850 21 x 1350 = 28,350 24 x 3150 = 75,600 41 x 4800 = 196,800 32 x 6300 = 201,600
131 champions for a grand total of 508,200 IP for all champions.
Let's add in runes.
I'll be doing the cost to fill the starting 2 rune pages, as most new players only have an AD and an AP page, only adding the costs of the most popular runes for that slot, found at http://www.leagueofgraphs.com/champions/runes
.# of T3 runes, Rune Type x Cost = Total
Marks 9 T3, AD marks x 102 = 918 9 T3, MPen marks x 205 = 1,845
Seals 9 T3, Armor Seals x 102 = 918 9 T3, Health seals x 820 = 7,380
Glyphs 9 T3, MR Glyphs x 102 = 918 (These are the most popular glyphs by a LONG shot, so I'll assume for this scenario both pages use these)
Quintessences 3 T3, AD Glyphs x 512 = 1,536 3 T3, AP Glyphs x 512 = 1,536
For a GRAND Total of 15,051
Adding both of these together nets us 523,251 IP
Let's say the average player plays 6 games per day (which is stupidly high but it makes the math easier so whatever), half are wins, half are losses. We'll also assume that the average player wins and loses in the average amount of time, 37 minutes. This means 3 wins, 3 losses. At 37 minutes, the average win grants 100IP The average loss grants 68IP.
300 IP wins + 204 IP losses = 504 Daily IP + First win of the day = 654 Daily IP
Assuming the player does not ever stop playing his 6 games per day, and plays those 6 every day straight, it will take him (Rounded down) **800 DAYS ** to fill 2 rune pages and buy every champion.
Can we talk about how that is OVER TWO YEARS?
This is all forgetting about the fact that not everyone uses the most popular runes, some people buy more rune pages + Icons + Whatever else you can think of.
and 
and
.
. These are the champs I feel confident playing in ranked.I have about 6-7 games of graves, but I know the entire 130+ champ rotations abilities passives well enough to know how to defeat them.
. I just cant list all of them out. you dont need every champ but I would recommend having atleast 70+ if you want to climb