Search a number
-
+
2002120011020 = 225413324221147
BaseRepresentation
bin11101001000100111101…
…001101110110100001100
321002101211012000120100202
4131020213221232310030
5230300320210323040
64131432232113032
7264435254205143
oct35104751566414
97071735016322
102002120011020
11702104607508
12284035b35778
13116a5083a66c
146cc9026875a
153712e199015
hex1d227a6ed0c

2002120011020 has 24 divisors (see below), whose sum is σ = 4205469484944. Its totient is φ = 800654202176.

The previous prime is 2002120011019. The next prime is 2002120011077. The reversal of 2002120011020 is 201100212002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2002120010992 and 2002120011010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12027914 + ... + 12193233.

It is an arithmetic number, because the mean of its divisors is an integer number (175227895206).

Almost surely, 22002120011020 is an apocalyptic number.

2002120011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002120011020 is an abundant number, since it is smaller than the sum of its proper divisors (2203349473924).

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

2002120011020 is a wasteful number, since it uses less digits than its factorization.

2002120011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24225289 (or 24225287 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002120011020 its reverse (201100212002), we get a palindrome (2203220223022).

The spelling of 2002120011020 in words is "two trillion, two billion, one hundred twenty million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 4133 8266 16532 20665 41330 82660 24221147 48442294 96884588 121105735 242211470 484422940 100106000551 200212001102 400424002204 500530002755 1001060005510 2002120011020