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231303322213 is a prime number
BaseRepresentation
bin1101011101101011000…
…0001001101001100101
3211010000221000012211121
43113122300021221211
512242202122302323
6254132000533541
722465624541035
oct3273260115145
9733027005747
10231303322213
118a105771527
12389b30212b1
1318a72713442
14b2a36738c5
15603b6e7a5d
hex35dac09a65

231303322213 has 2 divisors, whose sum is σ = 231303322214. Its totient is φ = 231303322212.

The previous prime is 231303322199. The next prime is 231303322223. The reversal of 231303322213 is 312223303132.

231303322213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144264751684 + 87038570529 = 379822^2 + 295023^2 .

It is a cyclic number.

It is not a de Polignac number, because 231303322213 - 25 = 231303322181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231303322223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115651661106 + 115651661107.

It is an arithmetic number, because the mean of its divisors is an integer number (115651661107).

Almost surely, 2231303322213 is an apocalyptic number.

It is an amenable number.

231303322213 is a deficient number, since it is larger than the sum of its proper divisors (1).

231303322213 is an equidigital number, since it uses as much as digits as its factorization.

231303322213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 231303322213 its reverse (312223303132), we get a palindrome (543526625345).

The spelling of 231303322213 in words is "two hundred thirty-one billion, three hundred three million, three hundred twenty-two thousand, two hundred thirteen".