Search a number
-
+
133311403033 is a prime number
BaseRepresentation
bin111110000100111111…
…0101001010000011001
3110202002200220221121121
41330021332221100121
54141010204344113
6141124210005241
712426403141414
oct1741176512031
9422080827547
10133311403033
115159a8a2256
1221a05876821
13c756c4a203
1466491b2b7b
153703919e8d
hex1f09fa9419

133311403033 has 2 divisors, whose sum is σ = 133311403034. Its totient is φ = 133311403032.

The previous prime is 133311403021. The next prime is 133311403079. The reversal of 133311403033 is 330304113331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77647494409 + 55663908624 = 278653^2 + 235932^2 .

It is a cyclic number.

It is not a de Polignac number, because 133311403033 - 225 = 133277848601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133311402989 and 133311403007.

It is not a weakly prime, because it can be changed into another prime (133311403003) 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, 66655701516 + 66655701517.

It is an arithmetic number, because the mean of its divisors is an integer number (66655701517).

Almost surely, 2133311403033 is an apocalyptic number.

It is an amenable number.

133311403033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133311403033 is an equidigital number, since it uses as much as digits as its factorization.

133311403033 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 133311403033 its reverse (330304113331), we get a palindrome (463615516364).

The spelling of 133311403033 in words is "one hundred thirty-three billion, three hundred eleven million, four hundred three thousand, thirty-three".