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34115877097 is a prime number
BaseRepresentation
bin11111110001011101…
…101111100011101001
310021001121001010022121
4133301131233203221
51024332131031342
623401141351241
72315265112351
oct376135574351
9107047033277
1034115877097
1113517583455
126741408521
1332a8cc8c33
141918d23b61
15d4a13d067
hex7f176f8e9

34115877097 has 2 divisors, whose sum is σ = 34115877098. Its totient is φ = 34115877096.

The previous prime is 34115877073. The next prime is 34115877109. The reversal of 34115877097 is 79077851143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32128411536 + 1987465561 = 179244^2 + 44581^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34115877097 is a prime.

It is not a weakly prime, because it can be changed into another prime (34115877997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17057938548 + 17057938549.

It is an arithmetic number, because the mean of its divisors is an integer number (17057938549).

Almost surely, 234115877097 is an apocalyptic number.

It is an amenable number.

34115877097 is a deficient number, since it is larger than the sum of its proper divisors (1).

34115877097 is an equidigital number, since it uses as much as digits as its factorization.

34115877097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1481760, while the sum is 52.

The spelling of 34115877097 in words is "thirty-four billion, one hundred fifteen million, eight hundred seventy-seven thousand, ninety-seven".