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33042414022141 is a prime number
BaseRepresentation
bin1111000001101010010010…
…10110011010110111111101
311022222211020122102121021011
413200311021112122313331
513312331330442202031
6154135250410235221
76650143552031446
oct740651126326775
9138884218377234
1033042414022141
11a58a233335397
123857a11725b11
131558b6a1a9874
148233932c02cd
153c4797dea6b1
hex1e0d4959adfd

33042414022141 has 2 divisors, whose sum is σ = 33042414022142. Its totient is φ = 33042414022140.

The previous prime is 33042414022067. The next prime is 33042414022151. The reversal of 33042414022141 is 14122041424033.

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., 32992961602500 + 49452419641 = 5743950^2 + 222379^2 .

It is a cyclic number.

It is not a de Polignac number, because 33042414022141 - 221 = 33042411924989 is a prime.

It is a super-2 number, since 2×330424140221412 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33042414022151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16521207011070 + 16521207011071.

It is an arithmetic number, because the mean of its divisors is an integer number (16521207011071).

Almost surely, 233042414022141 is an apocalyptic number.

It is an amenable number.

33042414022141 is a deficient number, since it is larger than the sum of its proper divisors (1).

33042414022141 is an equidigital number, since it uses as much as digits as its factorization.

33042414022141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 33042414022141 its reverse (14122041424033), we get a palindrome (47164455446174).

The spelling of 33042414022141 in words is "thirty-three trillion, forty-two billion, four hundred fourteen million, twenty-two thousand, one hundred forty-one".