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34214011001129 is a prime number
BaseRepresentation
bin1111100011110000100011…
…11110001101100100101001
311111010211100020211202012102
413301320101332031210221
513441030243304014004
6200433411043423145
710130611042034201
oct761702176154451
9144124306752172
1034214011001129
11a9a10982863a3
123a06aa3084ab5
1316124a121815b
14863d77509401
153e4eb92b111e
hex1f1e11f8d929

34214011001129 has 2 divisors, whose sum is σ = 34214011001130. Its totient is φ = 34214011001128.

The previous prime is 34214011001117. The next prime is 34214011001207. The reversal of 34214011001129 is 92110011041243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31085085160000 + 3128925841129 = 5575400^2 + 1768877^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34214011001129 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 (34214011006129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17107005500564 + 17107005500565.

It is an arithmetic number, because the mean of its divisors is an integer number (17107005500565).

Almost surely, 234214011001129 is an apocalyptic number.

It is an amenable number.

34214011001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34214011001129 is an equidigital number, since it uses as much as digits as its factorization.

34214011001129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 34214011001129 in words is "thirty-four trillion, two hundred fourteen billion, eleven million, one thousand, one hundred twenty-nine".