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10517617147 is a prime number
BaseRepresentation
bin10011100101110011…
…00001100111111011
31000010222202022100211
421302321201213323
5133020002222042
64455353011551
7521431161562
oct116271414773
930128668324
1010517617147
114507a14484
1220563b3bb7
13cb80001cb
1471abc2bd9
15418556017
hex272e619fb

10517617147 has 2 divisors, whose sum is σ = 10517617148. Its totient is φ = 10517617146.

The previous prime is 10517617139. The next prime is 10517617177. The reversal of 10517617147 is 74171671501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10517617147 - 23 = 10517617139 is a prime.

It is a super-3 number, since 3×105176171473 (a number of 31 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 (10517617177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5258808573 + 5258808574.

It is an arithmetic number, because the mean of its divisors is an integer number (5258808574).

Almost surely, 210517617147 is an apocalyptic number.

10517617147 is a deficient number, since it is larger than the sum of its proper divisors (1).

10517617147 is an equidigital number, since it uses as much as digits as its factorization.

10517617147 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41160, while the sum is 40.

The spelling of 10517617147 in words is "ten billion, five hundred seventeen million, six hundred seventeen thousand, one hundred forty-seven".