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10330410017 is a prime number
BaseRepresentation
bin10011001111011110…
…11000110000100001
3222122221111012110102
421213233120300201
5132124041110032
64425024312145
7513666015314
oct114757306041
928587435412
1010330410017
114421279a44
122003772655
13c882a4a65
146dddb097b
15406dc7362
hex267bd8c21

10330410017 has 2 divisors, whose sum is σ = 10330410018. Its totient is φ = 10330410016.

The previous prime is 10330409983. The next prime is 10330410019. The reversal of 10330410017 is 71001403301.

It is a happy number.

10330410017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9047624161 + 1282785856 = 95119^2 + 35816^2 .

It is a cyclic number.

It is not a de Polignac number, because 10330410017 - 210 = 10330408993 is a prime.

It is a super-2 number, since 2×103304100172 (a number of 21 digits) contains 22 as substring.

Together with 10330410019, 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 (10330410019) 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, 5165205008 + 5165205009.

It is an arithmetic number, because the mean of its divisors is an integer number (5165205009).

Almost surely, 210330410017 is an apocalyptic number.

It is an amenable number.

10330410017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10330410017 is an equidigital number, since it uses as much as digits as its factorization.

10330410017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 10330410017 its reverse (71001403301), we get a palindrome (81331813318).

The spelling of 10330410017 in words is "ten billion, three hundred thirty million, four hundred ten thousand, seventeen".