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33302133323141 is a prime number
BaseRepresentation
bin1111001001001110000011…
…10100111011010110000101
311100220122121221010002212112
413210213001310323112011
513331110232112320031
6154454442220230405
710004666623461644
oct744470164732605
9140818557102775
1033302133323141
11a67a3a0092301
12389a21509b405
1315774baa55327
14831b9086735b
153cb3e912762b
hex1e49c1d3b585

33302133323141 has 2 divisors, whose sum is σ = 33302133323142. Its totient is φ = 33302133323140.

The previous prime is 33302133323113. The next prime is 33302133323219. The reversal of 33302133323141 is 14132333120333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24946738398241 + 8355394924900 = 4994671^2 + 2890570^2 .

It is a cyclic number.

It is not a de Polignac number, because 33302133323141 - 222 = 33302129128837 is a prime.

It is a super-2 number, since 2×333021333231412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33302133323098 and 33302133323107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33302133323341) 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, 16651066661570 + 16651066661571.

It is an arithmetic number, because the mean of its divisors is an integer number (16651066661571).

Almost surely, 233302133323141 is an apocalyptic number.

It is an amenable number.

33302133323141 is a deficient number, since it is larger than the sum of its proper divisors (1).

33302133323141 is an equidigital number, since it uses as much as digits as its factorization.

33302133323141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 33302133323141 its reverse (14132333120333), we get a palindrome (47434466443474).

The spelling of 33302133323141 in words is "thirty-three trillion, three hundred two billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred forty-one".