Search a number
-
+
222332132103313 is a prime number
BaseRepresentation
bin110010100011010110111011…
…110000011001010010010001
31002011012202002120002102012211
4302203112323300121102101
5213120142201304301223
62104505545500152121
764554652332211501
oct6243267360312221
91064182076072184
10222332132103313
1164929589427251
1220b29559238641
139709aa3948c5b
143cc8d0b123a01
151aa8580494d0d
hexca35bbc19491

222332132103313 has 2 divisors, whose sum is σ = 222332132103314. Its totient is φ = 222332132103312.

The previous prime is 222332132103283. The next prime is 222332132103343. The reversal of 222332132103313 is 313301231233222.

It is a balanced prime because it is at equal distance from previous prime (222332132103283) and next prime (222332132103343).

It can be written as a sum of positive squares in only one way, i.e., 160423198925584 + 61908933177729 = 12665828^2 + 7868223^2 .

It is a cyclic number.

It is not a de Polignac number, because 222332132103313 - 217 = 222332131972241 is a prime.

It is not a weakly prime, because it can be changed into another prime (222332132103343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111166066051656 + 111166066051657.

It is an arithmetic number, because the mean of its divisors is an integer number (111166066051657).

Almost surely, 2222332132103313 is an apocalyptic number.

It is an amenable number.

222332132103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

222332132103313 is an equidigital number, since it uses as much as digits as its factorization.

222332132103313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 222332132103313 its reverse (313301231233222), we get a palindrome (535633363336535).

The spelling of 222332132103313 in words is "two hundred twenty-two trillion, three hundred thirty-two billion, one hundred thirty-two million, one hundred three thousand, three hundred thirteen".