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33042444313 is a prime number
BaseRepresentation
bin11110110001011110…
…111011000000011001
310011021210012002100211
4132301132323000121
51020132331204223
623102434131121
72246552066614
oct366136730031
9104253162324
1033042444313
111301666451a
1264a1a20aa1
1331677ba8c8
14185653d17b
15cd5ca3d0d
hex7b17bb019

33042444313 has 2 divisors, whose sum is σ = 33042444314. Its totient is φ = 33042444312.

The previous prime is 33042444301. The next prime is 33042444317. The reversal of 33042444313 is 31344424033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19915701129 + 13126743184 = 141123^2 + 114572^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33042444313 is a prime.

It is not a weakly prime, because it can be changed into another prime (33042444317) 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, 16521222156 + 16521222157.

It is an arithmetic number, because the mean of its divisors is an integer number (16521222157).

Almost surely, 233042444313 is an apocalyptic number.

It is an amenable number.

33042444313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33042444313 is an equidigital number, since it uses as much as digits as its factorization.

33042444313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 33042444313 its reverse (31344424033), we get a palindrome (64386868346).

The spelling of 33042444313 in words is "thirty-three billion, forty-two million, four hundred forty-four thousand, three hundred thirteen".