Search a number
-
+
103122110321 is a prime number
BaseRepresentation
bin110000000001010001…
…1101000011101110001
3100212011202102222110022
41200002203220131301
53142143230012241
6115212412413225
710310314321646
oct1400243503561
9325152388408
10103122110321
113a80881986a
1217b9b477215
1399555a95b9
144dc3971dcd
152a3839e54b
hex18028e8771

103122110321 has 2 divisors, whose sum is σ = 103122110322. Its totient is φ = 103122110320.

The previous prime is 103122110317. The next prime is 103122110323. The reversal of 103122110321 is 123011221301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103105210000 + 16900321 = 321100^2 + 4111^2 .

It is a cyclic number.

It is not a de Polignac number, because 103122110321 - 22 = 103122110317 is a prime.

Together with 103122110323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103122110321.

It is not a weakly prime, because it can be changed into another prime (103122110323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51561055160 + 51561055161.

It is an arithmetic number, because the mean of its divisors is an integer number (51561055161).

Almost surely, 2103122110321 is an apocalyptic number.

It is an amenable number.

103122110321 is a deficient number, since it is larger than the sum of its proper divisors (1).

103122110321 is an equidigital number, since it uses as much as digits as its factorization.

103122110321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 103122110321 its reverse (123011221301), we get a palindrome (226133331622).

The spelling of 103122110321 in words is "one hundred three billion, one hundred twenty-two million, one hundred ten thousand, three hundred twenty-one".