Search a number
-
+
2012002122 = 2313217116719
BaseRepresentation
bin111011111101100…
…1011011101001010
312012012221022001010
41313323023131022
513110033031442
6531352104350
7100600510254
oct16773133512
95165838033
102012002122
119427a4a79
124819950b6
13260aba300
14151300cd4
15bb983b9c
hex77ecb74a

2012002122 has 48 divisors (see below), whose sum is σ = 4613708160. Its totient is φ = 582656256.

The previous prime is 2012002117. The next prime is 2012002123. The reversal of 2012002122 is 2212002102.

It is a junction number, because it is equal to n+sod(n) for n = 2012002098 and 2012002107.

It is not an unprimeable number, because it can be changed into a prime (2012002123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41122 + ... + 75597.

It is an arithmetic number, because the mean of its divisors is an integer number (96118920).

Almost surely, 22012002122 is an apocalyptic number.

2012002122 is an abundant number, since it is smaller than the sum of its proper divisors (2601706038).

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

2012002122 is a wasteful number, since it uses less digits than its factorization.

2012002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116767 (or 116754 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2012002122 is about 44855.3466378313. The cubic root of 2012002122 is about 1262.4363128609.

Adding to 2012002122 its reverse (2212002102), we get a palindrome (4224004224).

The spelling of 2012002122 in words is "two billion, twelve million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2873 5746 8619 17238 116719 233438 350157 700314 1517347 1984223 3034694 3968446 4552041 5952669 9104082 11905338 19725511 25794899 39451022 51589798 59176533 77384697 118353066 154769394 335333687 670667374 1006001061 2012002122