Search a number
-
+
2002121211220 = 225137700466197
BaseRepresentation
bin11101001000100111101…
…110010011110101010100
321002101211021021112201121
4131020213232103311110
5230300321012224340
64131432313533324
7264435300334234
oct35104756236524
97071737245647
102002121211220
11702105257209
12284036414244
13116a50b6aa40
146cc9049bcc4
153712e33494a
hex1d227b93d54

2002121211220 has 24 divisors (see below), whose sum is σ = 4527874124424. Its totient is φ = 739244754816.

The previous prime is 2002121211217. The next prime is 2002121211257. The reversal of 2002121211220 is 221121212002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87096994884 + 1915024216336 = 295122^2 + 1383844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002121211194 and 2002121211203.

It is a congruent number.

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, 3850232839 + ... + 3850233358.

It is an arithmetic number, because the mean of its divisors is an integer number (188661421851).

Almost surely, 22002121211220 is an apocalyptic number.

2002121211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002121211220 is an abundant number, since it is smaller than the sum of its proper divisors (2525752913204).

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

2002121211220 is a wasteful number, since it uses less digits than its factorization.

2002121211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700466219 (or 7700466217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2002121211220 its reverse (221121212002), we get a palindrome (2223242423222).

The spelling of 2002121211220 in words is "two trillion, two billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 7700466197 15400932394 30801864788 38502330985 77004661970 100106060561 154009323940 200212121122 400424242244 500530302805 1001060605610 2002121211220