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34100137 is a prime number
BaseRepresentation
bin1000001000010…
…1001110101001
32101011110121001
42002011032221
532212201022
63214515001
7562563211
oct202051651
971143531
1034100137
1118280a35
12b505a61
1370ac2c6
144759241
152ed8b27
hex20853a9

34100137 has 2 divisors, whose sum is σ = 34100138. Its totient is φ = 34100136.

The previous prime is 34100111. The next prime is 34100173. The reversal of 34100137 is 73100143.

Together with next prime (34100173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32080896 + 2019241 = 5664^2 + 1421^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34100137 is a prime.

It is not a weakly prime, because it can be changed into another prime (34100177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17050068 + 17050069.

It is an arithmetic number, because the mean of its divisors is an integer number (17050069).

Almost surely, 234100137 is an apocalyptic number.

It is an amenable number.

34100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34100137 is an equidigital number, since it uses as much as digits as its factorization.

34100137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 34100137 is about 5839.5322586659. The cubic root of 34100137 is about 324.2789125269.

The spelling of 34100137 in words is "thirty-four million, one hundred thousand, one hundred thirty-seven".