Search a number
-
+
11003332123033 is a prime number
BaseRepresentation
bin1010000000011110100110…
…1100111101100110011001
31102221220112010122001210121
42200013221230331212121
52420234311010414113
635222505550313241
72213651553565615
oct240075154754631
942856463561717
1011003332123033
11356253a1442a8
1212986297b8821
1361a7c08727a3
142a07c7d14345
1514134dea4e8d
hexa01e9b3d999

11003332123033 has 2 divisors, whose sum is σ = 11003332123034. Its totient is φ = 11003332123032.

The previous prime is 11003332123013. The next prime is 11003332123103. The reversal of 11003332123033 is 33032123330011.

11003332123033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5821280529289 + 5182051593744 = 2412733^2 + 2276412^2 .

It is a cyclic number.

It is not a de Polignac number, because 11003332123033 - 25 = 11003332123001 is a prime.

It is a super-3 number, since 3×110033321230333 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11003332122989 and 11003332123007.

It is not a weakly prime, because it can be changed into another prime (11003332123013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5501666061516 + 5501666061517.

It is an arithmetic number, because the mean of its divisors is an integer number (5501666061517).

Almost surely, 211003332123033 is an apocalyptic number.

It is an amenable number.

11003332123033 is a deficient number, since it is larger than the sum of its proper divisors (1).

11003332123033 is an equidigital number, since it uses as much as digits as its factorization.

11003332123033 is an evil number, because the sum of its binary digits is even.

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

Adding to 11003332123033 its reverse (33032123330011), we get a palindrome (44035455453044).

The spelling of 11003332123033 in words is "eleven trillion, three billion, three hundred thirty-two million, one hundred twenty-three thousand, thirty-three".