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20201010020000 = 25541010050501
BaseRepresentation
bin1001001011111011010100…
…00001101011111010100000
32122112012100010021112010022
410211331222001223322200
510121433132031120000
6110544114344253012
74153321601011415
oct445755201537240
978465303245108
1020201010020000
116489222576207
122323111471168
13b36c4093aa84
144dba3c53810c
1525071bd1a585
hex125f6a06bea0

20201010020000 has 60 divisors (see below), whose sum is σ = 49697514849906. Its totient is φ = 8080404000000.

The previous prime is 20201010019997. The next prime is 20201010020069. The reversal of 20201010020000 is 2001010202.

It can be written as a sum of positive squares in 5 ways, for example, as 1301853616144 + 18899156403856 = 1140988^2 + 4347316^2 .

It is a super-3 number, since 3×202010100200003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20201010020000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 505005251 + ... + 505045250.

Almost surely, 220201010020000 is an apocalyptic number.

20201010020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201010020000 is an abundant number, since it is smaller than the sum of its proper divisors (29496504829906).

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

20201010020000 is an equidigital number, since it uses as much as digits as its factorization.

20201010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010050531 (or 1010050508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20201010020000 its reverse (2001010202), we get a palindrome (20203011030202).

The spelling of 20201010020000 in words is "twenty trillion, two hundred one billion, ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 1010050501 2020101002 4040202004 5050252505 8080404008 10100505010 16160808016 20201010020 25251262525 32321616032 40402020040 50502525050 80804040080 101005050100 126256312625 161608080160 202010100200 252512625250 404020200400 505025250500 631281563125 808040400800 1010050501000 1262563126250 2020101002000 2525126252500 4040202004000 5050252505000 10100505010000 20201010020000