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13034274329 is a prime number
BaseRepresentation
bin11000010001110011…
…10011111000011001
31020122101021202000002
430020321303320121
5203143233234304
65553213422345
7641000334536
oct141071637031
936571252002
1013034274329
11558956524a
12263919a9b5
1312c951237b
148b912bd8d
1551447231e
hex308e73e19

13034274329 has 2 divisors, whose sum is σ = 13034274330. Its totient is φ = 13034274328.

The previous prime is 13034274311. The next prime is 13034274413. The reversal of 13034274329 is 92347243031.

13034274329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11381689225 + 1652585104 = 106685^2 + 40652^2 .

It is a cyclic number.

It is not a de Polignac number, because 13034274329 - 216 = 13034208793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13034274292 and 13034274301.

It is not a weakly prime, because it can be changed into another prime (13034271329) 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, 6517137164 + 6517137165.

It is an arithmetic number, because the mean of its divisors is an integer number (6517137165).

Almost surely, 213034274329 is an apocalyptic number.

It is an amenable number.

13034274329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13034274329 is an equidigital number, since it uses as much as digits as its factorization.

13034274329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 13034274329 in words is "thirteen billion, thirty-four million, two hundred seventy-four thousand, three hundred twenty-nine".