Search a number
-
+
222132201017 is a prime number
BaseRepresentation
bin1100111011100000011…
…1000110011000111001
3210020100202220222200012
43032320013012120321
512114411320413032
6250013543551305
722022433361256
oct3167007063071
9706322828605
10222132201017
1186229922421
123707375b535
1317c4067a6cc
14aa7363642d
155ba14b86b2
hex33b81c6639

222132201017 has 2 divisors, whose sum is σ = 222132201018. Its totient is φ = 222132201016.

The previous prime is 222132200993. The next prime is 222132201041. The reversal of 222132201017 is 710102231222.

222132201017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (222132200993) and next prime (222132201041).

It can be written as a sum of positive squares in only one way, i.e., 220806949801 + 1325251216 = 469901^2 + 36404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222132201017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222132200983 and 222132201001.

It is not a weakly prime, because it can be changed into another prime (222132201517) 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, 111066100508 + 111066100509.

It is an arithmetic number, because the mean of its divisors is an integer number (111066100509).

Almost surely, 2222132201017 is an apocalyptic number.

It is an amenable number.

222132201017 is a deficient number, since it is larger than the sum of its proper divisors (1).

222132201017 is an equidigital number, since it uses as much as digits as its factorization.

222132201017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 222132201017 its reverse (710102231222), we get a palindrome (932234432239).

The spelling of 222132201017 in words is "two hundred twenty-two billion, one hundred thirty-two million, two hundred one thousand, seventeen".