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34081337137 is a prime number
BaseRepresentation
bin11111101111011001…
…111110111100110001
310020222012001022101211
4133233121332330301
51024244310242022
623353505200121
72314365404641
oct375731767461
9106865038354
1034081337137
11134aa032031
126731930041
1332a1ac46a3
1419144d2521
15d470b8e77
hex7ef67ef31

34081337137 has 2 divisors, whose sum is σ = 34081337138. Its totient is φ = 34081337136.

The previous prime is 34081337117. The next prime is 34081337161. The reversal of 34081337137 is 73173318043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26635545616 + 7445791521 = 163204^2 + 86289^2 .

It is a cyclic number.

It is not a de Polignac number, because 34081337137 - 27 = 34081337009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34081337137.

It is not a weakly prime, because it can be changed into another prime (34081337107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17040668568 + 17040668569.

It is an arithmetic number, because the mean of its divisors is an integer number (17040668569).

Almost surely, 234081337137 is an apocalyptic number.

It is an amenable number.

34081337137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34081337137 is an equidigital number, since it uses as much as digits as its factorization.

34081337137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 34081337137 in words is "thirty-four billion, eighty-one million, three hundred thirty-seven thousand, one hundred thirty-seven".