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123017 is a prime number
BaseRepresentation
bin11110000010001001
320020202012
4132002021
512414032
62345305
71021436
oct360211
9206665
10123017
1184474
125b235
1343cbb
1432b8d
15266b2
hex1e089

123017 has 2 divisors, whose sum is σ = 123018. Its totient is φ = 123016.

The previous prime is 123007. The next prime is 123031. The reversal of 123017 is 710321.

It is an a-pointer prime, because the next prime (123031) can be obtained adding 123017 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109561 + 13456 = 331^2 + 116^2 .

It is an emirp because it is prime and its reverse (710321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123017 - 24 = 123001 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122992 and 123010.

It is not a weakly prime, because it can be changed into another prime (123007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61508 + 61509.

It is an arithmetic number, because the mean of its divisors is an integer number (61509).

2123017 is an apocalyptic number.

It is an amenable number.

123017 is a deficient number, since it is larger than the sum of its proper divisors (1).

123017 is an equidigital number, since it uses as much as digits as its factorization.

123017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 123017 is about 350.7377938004. The cubic root of 123017 is about 49.7341893986.

Adding to 123017 its reverse (710321), we get a palindrome (833338).

It can be divided in two parts, 1230 and 17, that multiplied together give a triangular number (20910 = T204).

The spelling of 123017 in words is "one hundred twenty-three thousand, seventeen", and thus it is an iban number.