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33031330133 is a prime number
BaseRepresentation
bin11110110000110100…
…100001100101010101
310011021000021102120112
4132300310201211111
51020122010031013
623101400012405
72246355450014
oct366064414525
9104230242515
1033031330133
111301036324a
12649a161105
1331653c8b79
141854c88a7b
15cd4d0aba8
hex7b0d21955

33031330133 has 2 divisors, whose sum is σ = 33031330134. Its totient is φ = 33031330132.

The previous prime is 33031330103. The next prime is 33031330141. The reversal of 33031330133 is 33103313033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21159484369 + 11871845764 = 145463^2 + 108958^2 .

It is a cyclic number.

It is not a de Polignac number, because 33031330133 - 224 = 33014552917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33031330099 and 33031330108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33031330103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16515665066 + 16515665067.

It is an arithmetic number, because the mean of its divisors is an integer number (16515665067).

Almost surely, 233031330133 is an apocalyptic number.

It is an amenable number.

33031330133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33031330133 is an equidigital number, since it uses as much as digits as its factorization.

33031330133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 23.

Adding to 33031330133 its reverse (33103313033), we get a palindrome (66134643166).

The spelling of 33031330133 in words is "thirty-three billion, thirty-one million, three hundred thirty thousand, one hundred thirty-three".