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34000113089 is a prime number
BaseRepresentation
bin11111101010100100…
…001000110111000001
310020202112012200221202
4133222210020313001
51024113012104324
623341444230545
72312361123065
oct375244106701
9106675180852
1034000113089
11134681a5218
12670a69b455
13328b026117
1419077cbaa5
15d3edc28ae
hex7ea908dc1

34000113089 has 2 divisors, whose sum is σ = 34000113090. Its totient is φ = 34000113088.

The previous prime is 34000113079. The next prime is 34000113107. The reversal of 34000113089 is 98031100043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27521151025 + 6478962064 = 165895^2 + 80492^2 .

It is a cyclic number.

It is not a de Polignac number, because 34000113089 - 24 = 34000113073 is a prime.

It is not a weakly prime, because it can be changed into another prime (34000113019) 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, 17000056544 + 17000056545.

It is an arithmetic number, because the mean of its divisors is an integer number (17000056545).

Almost surely, 234000113089 is an apocalyptic number.

It is an amenable number.

34000113089 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000113089 is an equidigital number, since it uses as much as digits as its factorization.

34000113089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 34000113089 in words is "thirty-four billion, one hundred thirteen thousand, eighty-nine".