Search a number
-
+
222233131301 is a prime number
BaseRepresentation
bin1100111011111000100…
…0000111100100100101
3210020121210211202222212
43032332020013210211
512120113140200201
6250031551133205
722025100306536
oct3167610074445
9706553752885
10222233131301
1186280899885
12370a1514205
1317c5855877c
14aa82bca68d
155baa2a3abb
hex33be207925

222233131301 has 2 divisors, whose sum is σ = 222233131302. Its totient is φ = 222233131300.

The previous prime is 222233131283. The next prime is 222233131319. The reversal of 222233131301 is 103131332222.

222233131301 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 (222233131283) and next prime (222233131319).

It can be written as a sum of positive squares in only one way, i.e., 195280029025 + 26953102276 = 441905^2 + 164174^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222233131301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222233131801) 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, 111116565650 + 111116565651.

It is an arithmetic number, because the mean of its divisors is an integer number (111116565651).

Almost surely, 2222233131301 is an apocalyptic number.

It is an amenable number.

222233131301 is a deficient number, since it is larger than the sum of its proper divisors (1).

222233131301 is an equidigital number, since it uses as much as digits as its factorization.

222233131301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 222233131301 its reverse (103131332222), we get a palindrome (325364463523).

The spelling of 222233131301 in words is "two hundred twenty-two billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred one".