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11002020121220 = 2252957732875217
BaseRepresentation
bin1010000000011001101110…
…0000000100101010000100
31102221210010200212110122212
42200012123200010222010
52420224114122334340
635222131441442552
72213604213010502
oct240063340045204
942853120773585
1011002020121220
113561a26599987
121298322340458
1361a641ac4a5b
142a070198b672
151412c3be3a65
hexa019b804a84

11002020121220 has 48 divisors (see below), whose sum is σ = 23942363765040. Its totient is φ = 4241691869184.

The previous prime is 11002020121219. The next prime is 11002020121289. The reversal of 11002020121220 is 2212102020011.

It can be written as a sum of positive squares in 8 ways, for example, as 2215882325056 + 8786137796164 = 1488584^2 + 2964142^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11002020121195 and 11002020121204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16102949 + ... + 16772268.

It is an arithmetic number, because the mean of its divisors is an integer number (498799245105).

Almost surely, 211002020121220 is an apocalyptic number.

11002020121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002020121220 is an abundant number, since it is smaller than the sum of its proper divisors (12940343643820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11002020121220 is a wasteful number, since it uses less digits than its factorization.

11002020121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32875832 (or 32875830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11002020121220 its reverse (2212102020011), we get a palindrome (13214122141231).

The spelling of 11002020121220 in words is "eleven trillion, two billion, twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 577 580 1154 2308 2885 5770 11540 16733 33466 66932 83665 167330 334660 32875217 65750434 131500868 164376085 328752170 657504340 953381293 1906762586 3813525172 4766906465 9533812930 18969000209 19067625860 37938000418 75876000836 94845001045 189690002090 379380004180 550101006061 1100202012122 2200404024244 2750505030305 5501010060610 11002020121220