Search a number
-
+
3300131141 is a prime number
BaseRepresentation
bin1100010010110100…
…0000000101000101
322111222210000212022
43010231000011011
523224313144031
61303245132525
7144531436406
oct30455000505
98458700768
103300131141
11144392440a
1278125a145
13407929c28
142344119ad
15144acb97b
hexc4b40145

3300131141 has 2 divisors, whose sum is σ = 3300131142. Its totient is φ = 3300131140.

The previous prime is 3300131113. The next prime is 3300131243. The reversal of 3300131141 is 1411310033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2343528100 + 956603041 = 48410^2 + 30929^2 .

It is a cyclic number.

It is not a de Polignac number, because 3300131141 - 26 = 3300131077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3300136141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1650065570 + 1650065571.

It is an arithmetic number, because the mean of its divisors is an integer number (1650065571).

Almost surely, 23300131141 is an apocalyptic number.

It is an amenable number.

3300131141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3300131141 is an equidigital number, since it uses as much as digits as its factorization.

3300131141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3300131141 is about 57446.7678899344. The cubic root of 3300131141 is about 1488.8252742531.

Adding to 3300131141 its reverse (1411310033), we get a palindrome (4711441174).

The spelling of 3300131141 in words is "three billion, three hundred million, one hundred thirty-one thousand, one hundred forty-one".