Search a number
-
+
330113133001 is a prime number
BaseRepresentation
bin1001100110111000100…
…01101010100111001001
31011120002011002200102101
410303130101222213021
520402032430224001
6411352450033401
732564340222121
oct4633421524711
91146064080371
10330113133001
11118000291883
1253b8a278861
132518b7850c2
1411d985d9c81
1588c11d3a01
hex4cdc46a9c9

330113133001 has 2 divisors, whose sum is σ = 330113133002. Its totient is φ = 330113133000.

The previous prime is 330113132981. The next prime is 330113133011. The reversal of 330113133001 is 100331311033.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205842782601 + 124270350400 = 453699^2 + 352520^2 .

It is a cyclic number.

It is not a de Polignac number, because 330113133001 - 27 = 330113132873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330113133001.

It is not a weakly prime, because it can be changed into another prime (330113133011) 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, 165056566500 + 165056566501.

It is an arithmetic number, because the mean of its divisors is an integer number (165056566501).

Almost surely, 2330113133001 is an apocalyptic number.

It is an amenable number.

330113133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

330113133001 is an equidigital number, since it uses as much as digits as its factorization.

330113133001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 330113133001 its reverse (100331311033), we get a palindrome (430444444034).

The spelling of 330113133001 in words is "three hundred thirty billion, one hundred thirteen million, one hundred thirty-three thousand, one".