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1331000017 is a prime number
BaseRepresentation
bin100111101010101…
…0111001011010001
310102202111210202221
41033111113023101
510211214000032
6340023541041
744661212344
oct11725271321
93382453687
101331000017
11623351016
123118ba781
131829a0199
14c8ab045b
157bcb5597
hex4f5572d1

1331000017 has 2 divisors, whose sum is σ = 1331000018. Its totient is φ = 1331000016.

The previous prime is 1330999997. The next prime is 1331000051. The reversal of 1331000017 is 7100001331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1187215936 + 143784081 = 34456^2 + 11991^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331000017 is a prime.

It is a super-2 number, since 2×13310000172 = 3543122090508000578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1331001017) 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, 665500008 + 665500009.

It is an arithmetic number, because the mean of its divisors is an integer number (665500009).

Almost surely, 21331000017 is an apocalyptic number.

It is an amenable number.

1331000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331000017 is an equidigital number, since it uses as much as digits as its factorization.

1331000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 1331000017 is about 36482.8729268954. The cubic root of 1331000017 is about 1100.0000046832. Note that the first 5 decimals are identical.

Adding to 1331000017 its reverse (7100001331), we get a palindrome (8431001348).

The spelling of 1331000017 in words is "one billion, three hundred thirty-one million, seventeen", and thus it is an aban number.