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34128240137 is a prime number
BaseRepresentation
bin11111110010001100…
…111001111000001001
310021002110022020012222
4133302030321320021
51024343312141022
623402302343425
72315505153245
oct376214717011
9107073266188
1034128240137
1113523557a42
12674558ab75
1332ab737244
14191a821425
15d4b281242
hex7f2339e09

34128240137 has 2 divisors, whose sum is σ = 34128240138. Its totient is φ = 34128240136.

The previous prime is 34128240103. The next prime is 34128240149. The reversal of 34128240137 is 73104282143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32909950921 + 1218289216 = 181411^2 + 34904^2 .

It is a cyclic number.

It is not a de Polignac number, because 34128240137 - 28 = 34128239881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34128240097 and 34128240106.

It is not a weakly prime, because it can be changed into another prime (34128240187) 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, 17064120068 + 17064120069.

It is an arithmetic number, because the mean of its divisors is an integer number (17064120069).

Almost surely, 234128240137 is an apocalyptic number.

It is an amenable number.

34128240137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34128240137 is an equidigital number, since it uses as much as digits as its factorization.

34128240137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 34128240137 in words is "thirty-four billion, one hundred twenty-eight million, two hundred forty thousand, one hundred thirty-seven".