Search a number
-
+
312223232302213 is a prime number
BaseRepresentation
bin100011011111101110010001…
…0110110100001110010000101
31111221111020201212222121110111
41012333130202312201302011
5311410431134432132323
63024013212305153021
7122523245520661111
oct10677344266416205
91457436655877414
10312223232302213
1190536146a9aa91
122b026b5492b771
131052a6a8359b4b
145715983bb4741
1526169995edc0d
hex11bf722da1c85

312223232302213 has 2 divisors, whose sum is σ = 312223232302214. Its totient is φ = 312223232302212.

The previous prime is 312223232302193. The next prime is 312223232302231. The reversal of 312223232302213 is 312203232322213.

Together with next prime (312223232302231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310585566939844 + 1637665362369 = 17623438^2 + 1279713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312223232302213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312223232302243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111616151106 + 156111616151107.

It is an arithmetic number, because the mean of its divisors is an integer number (156111616151107).

Almost surely, 2312223232302213 is an apocalyptic number.

It is an amenable number.

312223232302213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312223232302213 is an equidigital number, since it uses as much as digits as its factorization.

312223232302213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 312223232302213 its reverse (312203232322213), we get a palindrome (624426464624426).

The spelling of 312223232302213 in words is "three hundred twelve trillion, two hundred twenty-three billion, two hundred thirty-two million, three hundred two thousand, two hundred thirteen".