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34334441129 is a prime number
BaseRepresentation
bin11111111110011111…
…011111111010101001
310021121211022022210202
4133332133133322221
51030304104104004
623434550121545
72323560635312
oct377637377251
9107554268722
1034334441129
111361999588a
1267a26502b5
133312382b71
141939d79609
15d5e412b1e
hex7fe7dfea9

34334441129 has 2 divisors, whose sum is σ = 34334441130. Its totient is φ = 34334441128.

The previous prime is 34334441123. The next prime is 34334441143. The reversal of 34334441129 is 92114443343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26328307600 + 8006133529 = 162260^2 + 89477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34334441129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34334441092 and 34334441101.

It is not a weakly prime, because it can be changed into another prime (34334441123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17167220564 + 17167220565.

It is an arithmetic number, because the mean of its divisors is an integer number (17167220565).

Almost surely, 234334441129 is an apocalyptic number.

It is an amenable number.

34334441129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34334441129 is an equidigital number, since it uses as much as digits as its factorization.

34334441129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 38.

The spelling of 34334441129 in words is "thirty-four billion, three hundred thirty-four million, four hundred forty-one thousand, one hundred twenty-nine".