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34081337009 is a prime number
BaseRepresentation
bin11111101111011001…
…111110111010110001
310020222012001022020002
4133233121332322301
51024244310241014
623353505155345
72314365404366
oct375731767261
9106865038202
1034081337009
11134aa031a25
12673192bb55
1332a1ac4605
1419144d246d
15d470b8dde
hex7ef67eeb1

34081337009 has 2 divisors, whose sum is σ = 34081337010. Its totient is φ = 34081337008.

The previous prime is 34081336999. The next prime is 34081337011. The reversal of 34081337009 is 90073318043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31029879409 + 3051457600 = 176153^2 + 55240^2 .

It is an emirp because it is prime and its reverse (90073318043) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34081337009 is a prime.

Together with 34081337011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34081337309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17040668504 + 17040668505.

It is an arithmetic number, because the mean of its divisors is an integer number (17040668505).

Almost surely, 234081337009 is an apocalyptic number.

It is an amenable number.

34081337009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34081337009 is an equidigital number, since it uses as much as digits as its factorization.

34081337009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 34081337009 in words is "thirty-four billion, eighty-one million, three hundred thirty-seven thousand, nine".