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20201002002020 = 2257220613267349
BaseRepresentation
bin1001001011111011010011…
…00011000110011001100100
32122112012022120012011112002
410211331221203012121210
510121433123003031040
6110544113500344432
74153321442605400
oct445755143063144
978465276164462
1020201002002020
116489218a9a184
12232310a845118
13b36c3c0913c8
144dba3b44c100
1525071b284a15
hex125f698c6664

20201002002020 has 36 divisors (see below), whose sum is σ = 49348162035900. Its totient is φ = 6926057828928.

The previous prime is 20201002001969. The next prime is 20201002002047. The reversal of 20201002002020 is 2020020010202.

It can be written as a sum of positive squares in 2 ways, for example, as 7140396311104 + 13060605690916 = 2672152^2 + 3613946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20201002001992 and 20201002002010.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10306632695 + ... + 10306634654.

It is an arithmetic number, because the mean of its divisors is an integer number (1370782278775).

Almost surely, 220201002002020 is an apocalyptic number.

20201002002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201002002020 is an abundant number, since it is smaller than the sum of its proper divisors (29147160033880).

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

20201002002020 is a wasteful number, since it uses less digits than its factorization.

20201002002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20613267372 (or 20613267363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20201002002020 its reverse (2020020010202), we get a palindrome (22221022012222).

The spelling of 20201002002020 in words is "twenty trillion, two hundred one billion, two million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 20613267349 41226534698 82453069396 103066336745 144292871443 206132673490 288585742886 412265346980 577171485772 721464357215 1010050100101 1442928714430 2020100200202 2885857428860 4040200400404 5050250500505 10100501001010 20201002002020