Search a number
-
+
12200102210220 = 2235533836510129
BaseRepresentation
bin1011000110001000111011…
…0000100010101010101100
31121012022121002200121100120
42301202032300202222230
53044341302131211340
641540352150524540
72366266622515341
oct261421660425254
947168532617316
1012200102210220
113984041707061
121450565666750
136a6606c47582
143026b94a87c8
151625453344d0
hexb188ec22aac

12200102210220 has 48 divisors (see below), whose sum is σ = 34804819899360. Its totient is φ = 3191976426496.

The previous prime is 12200102210209. The next prime is 12200102210269. The reversal of 12200102210220 is 2201220100221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12200102210220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918251885 + ... + 1918258244.

It is an arithmetic number, because the mean of its divisors is an integer number (725100414570).

Almost surely, 212200102210220 is an apocalyptic number.

12200102210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200102210220 is an abundant number, since it is smaller than the sum of its proper divisors (22604717689140).

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

12200102210220 is a wasteful number, since it uses less digits than its factorization.

12200102210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836510194 (or 3836510192 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12200102210220 its reverse (2201220100221), we get a palindrome (14401322310441).

The spelling of 12200102210220 in words is "twelve trillion, two hundred billion, one hundred two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3836510129 7673020258 11509530387 15346040516 19182550645 23019060774 38365101290 46038121548 57547651935 76730202580 115095303870 203335036837 230190607740 406670073674 610005110511 813340147348 1016675184185 1220010221022 2033350368370 2440020442044 3050025552555 4066700736740 6100051105110 12200102210220