Search a number
-
+
22123212301 is a prime number
BaseRepresentation
bin10100100110101001…
…010110111000001101
32010002210201121222101
4110212221112320031
5330302020243201
614055133115101
71412143126141
oct244651267015
963083647871
1022123212301
119422a81933
124355028a91
132117532088
1410dc295221
1589736ad01
hex526a56e0d

22123212301 has 2 divisors, whose sum is σ = 22123212302. Its totient is φ = 22123212300.

The previous prime is 22123212203. The next prime is 22123212311. The reversal of 22123212301 is 10321232122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17475518025 + 4647694276 = 132195^2 + 68174^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22123212301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22123212311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061606150 + 11061606151.

It is an arithmetic number, because the mean of its divisors is an integer number (11061606151).

Almost surely, 222123212301 is an apocalyptic number.

It is an amenable number.

22123212301 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123212301 is an equidigital number, since it uses as much as digits as its factorization.

22123212301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22123212301 its reverse (10321232122), we get a palindrome (32444444423).

The spelling of 22123212301 in words is "twenty-two billion, one hundred twenty-three million, two hundred twelve thousand, three hundred one".