Search a number
-
+
33201332350033 is a prime number
BaseRepresentation
bin1111000110010010010011…
…00111101110110001010001
311100120000102221022010002011
413203021021213232301101
513322432312040200113
6154340252001422521
76664500652364611
oct743111147566121
9140500387263064
1033201332350033
11a640673611261
12388278303aa41
13156ab45311b03
1482ad4b2a6a41
153c899992263d
hex1e32499eec51

33201332350033 has 2 divisors, whose sum is σ = 33201332350034. Its totient is φ = 33201332350032.

The previous prime is 33201332350001. The next prime is 33201332350037. The reversal of 33201332350033 is 33005323310233.

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., 28394745283584 + 4806587066449 = 5328672^2 + 2192393^2 .

It is a cyclic number.

It is not a de Polignac number, because 33201332350033 - 25 = 33201332350001 is a prime.

It is a super-2 number, since 2×332013323500332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33201332349977 and 33201332350004.

It is not a weakly prime, because it can be changed into another prime (33201332350037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16600666175016 + 16600666175017.

It is an arithmetic number, because the mean of its divisors is an integer number (16600666175017).

Almost surely, 233201332350033 is an apocalyptic number.

It is an amenable number.

33201332350033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33201332350033 is an equidigital number, since it uses as much as digits as its factorization.

33201332350033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 31.

Adding to 33201332350033 its reverse (33005323310233), we get a palindrome (66206655660266).

The spelling of 33201332350033 in words is "thirty-three trillion, two hundred one billion, three hundred thirty-two million, three hundred fifty thousand, thirty-three".