Search a number
-
+
330031033322101 is a prime number
BaseRepresentation
bin100101100001010010101011…
…0100000011000101001110101
31121021112122210011022110011021
41023002211112200120221311
5321224212024012301401
63125530055203141141
7126341645445102106
oct11302452640305165
91537478704273137
10330031033322101
1196181414467811
12310222853747b1
131121ca40012447
145b6d8315703ad
152824ce7d262a1
hex12c2956818a75

330031033322101 has 2 divisors, whose sum is σ = 330031033322102. Its totient is φ = 330031033322100.

The previous prime is 330031033322093. The next prime is 330031033322173. The reversal of 330031033322101 is 101223330130033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319243947025201 + 10787086296900 = 17867399^2 + 3284370^2 .

It is a cyclic number.

It is not a de Polignac number, because 330031033322101 - 23 = 330031033322093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330031033320101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165015516661050 + 165015516661051.

It is an arithmetic number, because the mean of its divisors is an integer number (165015516661051).

Almost surely, 2330031033322101 is an apocalyptic number.

It is an amenable number.

330031033322101 is a deficient number, since it is larger than the sum of its proper divisors (1).

330031033322101 is an equidigital number, since it uses as much as digits as its factorization.

330031033322101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 330031033322101 its reverse (101223330130033), we get a palindrome (431254363452134).

The spelling of 330031033322101 in words is "three hundred thirty trillion, thirty-one billion, thirty-three million, three hundred twenty-two thousand, one hundred one".