Search a number
-
+
331033221221 is a prime number
BaseRepresentation
bin1001101000100110001…
…11100001100001100101
31011122110021102000011212
410310103013201201211
520410424001034341
6412024034441205
732626211645063
oct4642307414145
91148407360155
10331033221221
1111843269476a
12541a6433205
13252a72930c1
14120448a5033
158926d7c5eb
hex4d131e1865

331033221221 has 2 divisors, whose sum is σ = 331033221222. Its totient is φ = 331033221220.

The previous prime is 331033221193. The next prime is 331033221241. The reversal of 331033221221 is 122122330133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272887132996 + 58146088225 = 522386^2 + 241135^2 .

It is an emirp because it is prime and its reverse (122122330133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331033221221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331033221241) 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, 165516610610 + 165516610611.

It is an arithmetic number, because the mean of its divisors is an integer number (165516610611).

Almost surely, 2331033221221 is an apocalyptic number.

It is an amenable number.

331033221221 is a deficient number, since it is larger than the sum of its proper divisors (1).

331033221221 is an equidigital number, since it uses as much as digits as its factorization.

331033221221 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 331033221221 its reverse (122122330133), we get a palindrome (453155551354).

The spelling of 331033221221 in words is "three hundred thirty-one billion, thirty-three million, two hundred twenty-one thousand, two hundred twenty-one".