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34531262329 is a prime number
BaseRepresentation
bin100000001010001110…
…010011111101111001
310022010112122212201211
4200022032103331321
51031210000343304
623510300443121
72331500613124
oct401216237571
9108115585654
1034531262329
111370aaa7533
1268385494a1
133344096305
1419581713bb
15d71840204
hex80a393f79

34531262329 has 2 divisors, whose sum is σ = 34531262330. Its totient is φ = 34531262328.

The previous prime is 34531262317. The next prime is 34531262341. The reversal of 34531262329 is 92326213543.

34531262329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (34531262317) and next prime (34531262341).

It can be written as a sum of positive squares in only one way, i.e., 33471434304 + 1059828025 = 182952^2 + 32555^2 .

It is a cyclic number.

It is not a de Polignac number, because 34531262329 - 213 = 34531254137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34531262291 and 34531262300.

It is not a weakly prime, because it can be changed into another prime (34531262629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17265631164 + 17265631165.

It is an arithmetic number, because the mean of its divisors is an integer number (17265631165).

Almost surely, 234531262329 is an apocalyptic number.

It is an amenable number.

34531262329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34531262329 is an equidigital number, since it uses as much as digits as its factorization.

34531262329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 233280, while the sum is 40.

The spelling of 34531262329 in words is "thirty-four billion, five hundred thirty-one million, two hundred sixty-two thousand, three hundred twenty-nine".