Search a number
-
+
331324424423117 is a prime number
BaseRepresentation
bin100101101010101100111101…
…0100111111000011011001101
31121110010022020210212001022222
41023111121322213320123031
5321411404410123014432
63132400201143145125
7126534254051053436
oct11325317247703315
91543108223761288
10331324424423117
119662a998a82314
12311b0a874451a5
13112b49b3b4a868
145bb628b0c848d
152848796939112
hex12d567a9f86cd

331324424423117 has 2 divisors, whose sum is σ = 331324424423118. Its totient is φ = 331324424423116.

The previous prime is 331324424423063. The next prime is 331324424423171. The reversal of 331324424423117 is 711324424423133.

Together with next prime (331324424423171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (331324424423063) and next prime (331324424423171).

It can be written as a sum of positive squares in only one way, i.e., 249774602539081 + 81549821884036 = 15804259^2 + 9030494^2 .

It is an emirp because it is prime and its reverse (711324424423133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331324424423117 - 238 = 331049546516173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331324444423117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165662212211558 + 165662212211559.

It is an arithmetic number, because the mean of its divisors is an integer number (165662212211559).

Almost surely, 2331324424423117 is an apocalyptic number.

It is an amenable number.

331324424423117 is a deficient number, since it is larger than the sum of its proper divisors (1).

331324424423117 is an equidigital number, since it uses as much as digits as its factorization.

331324424423117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1161216, while the sum is 44.

The spelling of 331324424423117 in words is "three hundred thirty-one trillion, three hundred twenty-four billion, four hundred twenty-four million, four hundred twenty-three thousand, one hundred seventeen".