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34121033129 is a prime number
BaseRepresentation
bin11111110001110001…
…011010010110101001
310021001221202002001202
4133301301122112221
51024334441030004
623401444053545
72315356665461
oct376161322651
9107057662052
1034121033129
111351a485237
1267430942b5
1332aa0b2a41
1419198a6ba1
15d4a80ab1e
hex7f1c5a5a9

34121033129 has 2 divisors, whose sum is σ = 34121033130. Its totient is φ = 34121033128.

The previous prime is 34121033113. The next prime is 34121033153. The reversal of 34121033129 is 92133012143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33985659904 + 135373225 = 184352^2 + 11635^2 .

It is a cyclic number.

It is not a de Polignac number, because 34121033129 - 24 = 34121033113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34121033029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17060516564 + 17060516565.

It is an arithmetic number, because the mean of its divisors is an integer number (17060516565).

Almost surely, 234121033129 is an apocalyptic number.

It is an amenable number.

34121033129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34121033129 is an equidigital number, since it uses as much as digits as its factorization.

34121033129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 34121033129 in words is "thirty-four billion, one hundred twenty-one million, thirty-three thousand, one hundred twenty-nine".