Search a number
-
+
12333332313 = 323509939043
BaseRepresentation
bin10110111110001111…
…11011011101011001
31011211112100012022200
423133013323131121
5200224313113223
65355454040413
7614426411031
oct133707733531
934745305280
1012333332313
115259932125
1224824a9109
131217233293
1484ddca8c1
154c2b65a43
hex2df1fb759

12333332313 has 12 divisors (see below), whose sum is σ = 17815777200. Its totient is φ = 8221776696.

The previous prime is 12333332293. The next prime is 12333332317. The reversal of 12333332313 is 31323333321.

12333332313 is a `hidden beast` number, since 1 + 2 + 3 + 333 + 323 + 1 + 3 = 666.

It is not a de Polignac number, because 12333332313 - 220 = 12332283737 is a prime.

It is a super-3 number, since 3×123333323133 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12333332317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296370 + ... + 335412.

It is an arithmetic number, because the mean of its divisors is an integer number (1484648100).

Almost surely, 212333332313 is an apocalyptic number.

It is an amenable number.

12333332313 is a deficient number, since it is larger than the sum of its proper divisors (5482444887).

12333332313 is a wasteful number, since it uses less digits than its factorization.

12333332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74148 (or 74145 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

Adding to 12333332313 its reverse (31323333321), we get a palindrome (43656665634).

The spelling of 12333332313 in words is "twelve billion, three hundred thirty-three million, three hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 35099 39043 105297 117129 315891 351387 1370370257 4111110771 12333332313