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34311712018169 is a prime number
BaseRepresentation
bin1111100110100110100010…
…11010000000111011111001
311111111011112012112122201002
413303103101122000323321
513444130341234040134
6200550325523334345
710140640132005365
oct763232132007371
9144434465478632
1034311712018169
11aa29573a25583
123a21a0ab213b5
13161b77164a641
148689a50c42a5
153e77d677a87e
hex1f34d1680ef9

34311712018169 has 2 divisors, whose sum is σ = 34311712018170. Its totient is φ = 34311712018168.

The previous prime is 34311712018093. The next prime is 34311712018189. The reversal of 34311712018169 is 96181021711343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32546568601600 + 1765143416569 = 5704960^2 + 1328587^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34311712018169 is a prime.

It is a super-3 number, since 3×343117120181693 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (34311712018189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17155856009084 + 17155856009085.

It is an arithmetic number, because the mean of its divisors is an integer number (17155856009085).

Almost surely, 234311712018169 is an apocalyptic number.

It is an amenable number.

34311712018169 is a deficient number, since it is larger than the sum of its proper divisors (1).

34311712018169 is an equidigital number, since it uses as much as digits as its factorization.

34311712018169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728, while the sum is 47.

The spelling of 34311712018169 in words is "thirty-four trillion, three hundred eleven billion, seven hundred twelve million, eighteen thousand, one hundred sixty-nine".