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10231085617 is a prime number
BaseRepresentation
bin10011000011101000…
…11111101000110001
3222102000120222222221
421201310133220301
5131423124214432
64411115401041
7511351535644
oct114164375061
928360528887
1010231085617
1143801aa065
121b96453181
13c7083991c
146d0b17a5b
153ed307b97
hex261d1fa31

10231085617 has 2 divisors, whose sum is σ = 10231085618. Its totient is φ = 10231085616.

The previous prime is 10231085611. The next prime is 10231085663. The reversal of 10231085617 is 71658013201.

It is a happy number.

10231085617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5154665616 + 5076420001 = 71796^2 + 71249^2 .

It is a cyclic number.

It is not a de Polignac number, because 10231085617 - 27 = 10231085489 is a prime.

It is a super-2 number, since 2×102310856172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10231085611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5115542808 + 5115542809.

It is an arithmetic number, because the mean of its divisors is an integer number (5115542809).

Almost surely, 210231085617 is an apocalyptic number.

It is an amenable number.

10231085617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10231085617 is an equidigital number, since it uses as much as digits as its factorization.

10231085617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

Adding to 10231085617 its reverse (71658013201), we get a palindrome (81889098818).

The spelling of 10231085617 in words is "ten billion, two hundred thirty-one million, eighty-five thousand, six hundred seventeen".