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12361520329 is a prime number
BaseRepresentation
bin10111000001100110…
…11101010011001001
31011220111101022000021
423200303131103021
5200304022122304
65402342140441
7615221121604
oct134063352311
934814338007
1012361520329
115273835204
12248ba21721
131220022592
14853a4733b
154c5382a54
hex2e0cdd4c9

12361520329 has 2 divisors, whose sum is σ = 12361520330. Its totient is φ = 12361520328.

The previous prime is 12361520299. The next prime is 12361520333. The reversal of 12361520329 is 92302516321.

12361520329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7485710400 + 4875809929 = 86520^2 + 69827^2 .

It is a cyclic number.

It is not a de Polignac number, because 12361520329 - 29 = 12361519817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12361520294 and 12361520303.

It is not a weakly prime, because it can be changed into another prime (12361520359) 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 as a sum of consecutive naturals, namely, 6180760164 + 6180760165.

It is an arithmetic number, because the mean of its divisors is an integer number (6180760165).

Almost surely, 212361520329 is an apocalyptic number.

It is an amenable number.

12361520329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12361520329 is an equidigital number, since it uses as much as digits as its factorization.

12361520329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 12361520329 in words is "twelve billion, three hundred sixty-one million, five hundred twenty thousand, three hundred twenty-nine".