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34096578101 is a prime number
BaseRepresentation
bin11111110000010100…
…000111111000110101
310021000020201122001222
4133300110013320311
51024312210444401
623355212000125
72314642063145
oct376024077065
9107006648058
1034096578101
11135076a1873
126736a60045
1332a4ccc901
14191653c925
15d485c9c1b
hex7f0507e35

34096578101 has 2 divisors, whose sum is σ = 34096578102. Its totient is φ = 34096578100.

The previous prime is 34096578067. The next prime is 34096578107. The reversal of 34096578101 is 10187569043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26308515601 + 7788062500 = 162199^2 + 88250^2 .

It is a cyclic number.

It is not a de Polignac number, because 34096578101 - 210 = 34096577077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34096578107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17048289050 + 17048289051.

It is an arithmetic number, because the mean of its divisors is an integer number (17048289051).

Almost surely, 234096578101 is an apocalyptic number.

It is an amenable number.

34096578101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34096578101 is an equidigital number, since it uses as much as digits as its factorization.

34096578101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 34096578101 in words is "thirty-four billion, ninety-six million, five hundred seventy-eight thousand, one hundred one".