Search a number
-
+
12201120122013 = 322213971963031
BaseRepresentation
bin1011000110001100101101…
…1011100100010010011101
31121012102020001001212211100
42301203023123210102131
53044400343222401023
641541041152143313
72366334062600244
oct261431333442235
947172201055740
1012201120122013
113984514254279
1214507aa537b39
136a6739ab6544
1430277475995b
151625a48a2c43
hexb18cb6e449d

12201120122013 has 24 divisors (see below), whose sum is σ = 17633897873280. Its totient is φ = 8129438966880.

The previous prime is 12201120121979. The next prime is 12201120122017. The reversal of 12201120122013 is 31022102110221.

12201120122013 is a `hidden beast` number, since 1 + 220 + 11 + 201 + 220 + 13 = 666.

12201120122013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12201120122013 - 210 = 12201120120989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201120122017) 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, 193541808 + ... + 193604838.

It is an arithmetic number, because the mean of its divisors is an integer number (734745744720).

Almost surely, 212201120122013 is an apocalyptic number.

It is an amenable number.

12201120122013 is a deficient number, since it is larger than the sum of its proper divisors (5432777751267).

12201120122013 is a wasteful number, since it uses less digits than its factorization.

12201120122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74969 (or 74966 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12201120122013 its reverse (31022102110221), we get a palindrome (43223222232234).

The spelling of 12201120122013 in words is "twelve trillion, two hundred one billion, one hundred twenty million, one hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 2213 6639 9719 19917 29157 63031 87471 189093 567279 21508147 64524441 139487603 193573323 418462809 612598289 1255388427 1837794867 5513384601 1355680013557 4067040040671 12201120122013