Search a number
-
+
33043331033 is a prime number
BaseRepresentation
bin11110110001100010…
…010011011111011001
310011021211212010201022
4132301202103133121
51020133043043113
623102505132225
72246562452036
oct366142233731
9104254763638
1033043331033
111301710a749
1264a218a075
133167a3b3ab
1418566d038d
15cd5dcb908
hex7b18937d9

33043331033 has 2 divisors, whose sum is σ = 33043331034. Its totient is φ = 33043331032.

The previous prime is 33043330979. The next prime is 33043331039. The reversal of 33043331033 is 33013334033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33041059984 + 2271049 = 181772^2 + 1507^2 .

It is an emirp because it is prime and its reverse (33013334033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33043331033 - 210 = 33043330009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33043330993 and 33043331011.

It is not a weakly prime, because it can be changed into another prime (33043331039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16521665516 + 16521665517.

It is an arithmetic number, because the mean of its divisors is an integer number (16521665517).

Almost surely, 233043331033 is an apocalyptic number.

It is an amenable number.

33043331033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33043331033 is an equidigital number, since it uses as much as digits as its factorization.

33043331033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 33043331033 its reverse (33013334033), we get a palindrome (66056665066).

The spelling of 33043331033 in words is "thirty-three billion, forty-three million, three hundred thirty-one thousand, thirty-three".