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180000017 is a prime number
BaseRepresentation
bin10101011101010…
…01010100010001
3110112200221121022
422232221110101
5332040000032
625510005225
74313655251
oct1256512421
9415627538
10180000017
119267274a
1250346815
132b3a3bb2
1419c97961
1510c08512
hexaba9511

180000017 has 2 divisors, whose sum is σ = 180000018. Its totient is φ = 180000016.

The previous prime is 179999993. The next prime is 180000049. The reversal of 180000017 is 710000081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157351936 + 22648081 = 12544^2 + 4759^2 .

It is a cyclic number.

It is not a de Polignac number, because 180000017 - 28 = 179999761 is a prime.

It is a super-2 number, since 2×1800000172 = 64800012240000578, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (180000517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90000008 + 90000009.

It is an arithmetic number, because the mean of its divisors is an integer number (90000009).

Almost surely, 2180000017 is an apocalyptic number.

It is an amenable number.

180000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

180000017 is an equidigital number, since it uses as much as digits as its factorization.

180000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 180000017 is about 13416.4084985513. The cubic root of 180000017 is about 564.6216351037.

Adding to 180000017 its reverse (710000081), we get a palindrome (890000098).

The spelling of 180000017 in words is "one hundred eighty million, seventeen", and thus it is an aban number.