Search a number
-
+
103110123313 is a prime number
BaseRepresentation
bin110000000000111010…
…1111001111100110001
3100212010220212222101001
41200001311321330301
53142132142421223
6115211303442001
710310110405261
oct1400165717461
9325126788331
10103110123313
113a801a8184a
1217b97456301
139952c704b2
144dc21317a1
152a372d29ad
hex1801d79f31

103110123313 has 2 divisors, whose sum is σ = 103110123314. Its totient is φ = 103110123312.

The previous prime is 103110123211. The next prime is 103110123323. The reversal of 103110123313 is 313321011301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59591156769 + 43518966544 = 244113^2 + 208612^2 .

It is an emirp because it is prime and its reverse (313321011301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103110123313 is a prime.

It is not a weakly prime, because it can be changed into another prime (103110123323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51555061656 + 51555061657.

It is an arithmetic number, because the mean of its divisors is an integer number (51555061657).

Almost surely, 2103110123313 is an apocalyptic number.

It is an amenable number.

103110123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103110123313 is an equidigital number, since it uses as much as digits as its factorization.

103110123313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 103110123313 its reverse (313321011301), we get a palindrome (416431134614).

The spelling of 103110123313 in words is "one hundred three billion, one hundred ten million, one hundred twenty-three thousand, three hundred thirteen".