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103117 = 714731
BaseRepresentation
bin11001001011001101
312020110011
4121023031
511244432
62113221
7606430
oct311315
9166404
10103117
1170523
124b811
1337c21
1429817
1520847
hex192cd

103117 has 4 divisors (see below), whose sum is σ = 117856. Its totient is φ = 88380.

The previous prime is 103099. The next prime is 103123. The reversal of 103117 is 711301.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 711301 = 977333.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103117 is a prime.

It is a Duffinian number.

103117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 103097 and 103106.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103117.

It is not an unprimeable number, because it can be changed into a prime (103177) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7359 + ... + 7372.

It is an arithmetic number, because the mean of its divisors is an integer number (29464).

2103117 is an apocalyptic number.

It is an amenable number.

103117 is a deficient number, since it is larger than the sum of its proper divisors (14739).

103117 is an equidigital number, since it uses as much as digits as its factorization.

103117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14738.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 103117 is about 321.1183582419. The cubic root of 103117 is about 46.8932237290.

Adding to 103117 its reverse (711301), we get a palindrome (814418).

The spelling of 103117 in words is "one hundred three thousand, one hundred seventeen", and thus it is an iban number.

Divisors: 1 7 14731 103117