Search a number
-
+
110131021313 is a prime number
BaseRepresentation
bin110011010010001010…
…0100000011000000001
3101112021012221112211022
41212210110200120001
53301022020140223
6122332105555225
710646102143535
oct1464424403001
9345235845738
10110131021313
11427850aa395
12194167a5b15
13a5016b2501
14548a76bbc5
152ce8878ac8
hex19a4520601

110131021313 has 2 divisors, whose sum is σ = 110131021314. Its totient is φ = 110131021312.

The previous prime is 110131021303. The next prime is 110131021331. The reversal of 110131021313 is 313120131011.

Together with next prime (110131021331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102670898929 + 7460122384 = 320423^2 + 86372^2 .

It is a cyclic number.

It is not a de Polignac number, because 110131021313 - 28 = 110131021057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110131021291 and 110131021300.

It is not a weakly prime, because it can be changed into another prime (110131021303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55065510656 + 55065510657.

It is an arithmetic number, because the mean of its divisors is an integer number (55065510657).

Almost surely, 2110131021313 is an apocalyptic number.

It is an amenable number.

110131021313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110131021313 is an equidigital number, since it uses as much as digits as its factorization.

110131021313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 110131021313 its reverse (313120131011), we get a palindrome (423251152324).

The spelling of 110131021313 in words is "one hundred ten billion, one hundred thirty-one million, twenty-one thousand, three hundred thirteen".