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12323000013 = 3591811931993
BaseRepresentation
bin10110111101000001…
…00000111011001101
31011210210220021001220
423132200200323031
5200214142000023
65354444353553
7614242525512
oct133640407315
934723807056
1012323000013
115254015335
12247ab458b9
1312150563ac
1484c89b309
154c1cc43e3
hex2de820ecd

12323000013 has 32 divisors (see below), whose sum is σ = 16896996480. Its totient is φ = 7985848320.

The previous prime is 12323000003. The next prime is 12323000017. The reversal of 12323000013 is 31000032321.

12323000013 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 12323000013 - 217 = 12322868941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12322999956 and 12323000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6182145 + ... + 6184137.

It is an arithmetic number, because the mean of its divisors is an integer number (528031140).

Almost surely, 212323000013 is an apocalyptic number.

It is an amenable number.

12323000013 is a deficient number, since it is larger than the sum of its proper divisors (4573996467).

12323000013 is a wasteful number, since it uses less digits than its factorization.

12323000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12323000013 its reverse (31000032321), we get a palindrome (43323032334).

The spelling of 12323000013 in words is "twelve billion, three hundred twenty-three million, thirteen", and thus it is an aban number.

Divisors: 1 3 59 177 181 193 543 579 1993 5979 10679 11387 32037 34161 34933 104799 117587 352761 360733 384649 1082199 1153947 2061047 6183141 21283247 22694291 63849741 68082873 69621469 208864407 4107666671 12323000013