Search a number
-
+
33130203643241 is a prime number
BaseRepresentation
bin1111000100001101110100…
…00001001111110101101001
311100022012211212002102120022
413202012322001033311221
513320301124113040431
6154243445550410225
76656402221350605
oct742067201176551
9140265755072508
1033130203643241
11a613493288061
123870a32200975
13156421b0a5323
148277207dc505
153c6bd51aa07b
hex1e21ba04fd69

33130203643241 has 2 divisors, whose sum is σ = 33130203643242. Its totient is φ = 33130203643240.

The previous prime is 33130203643169. The next prime is 33130203643253. The reversal of 33130203643241 is 14234630203133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18164942341225 + 14965261302016 = 4262035^2 + 3868496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33130203643241 is a prime.

It is a super-2 number, since 2×331302036432412 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33130203645241) 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, 16565101821620 + 16565101821621.

It is an arithmetic number, because the mean of its divisors is an integer number (16565101821621).

Almost surely, 233130203643241 is an apocalyptic number.

It is an amenable number.

33130203643241 is a deficient number, since it is larger than the sum of its proper divisors (1).

33130203643241 is an equidigital number, since it uses as much as digits as its factorization.

33130203643241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 33130203643241 its reverse (14234630203133), we get a palindrome (47364833846374).

The spelling of 33130203643241 in words is "thirty-three trillion, one hundred thirty billion, two hundred three million, six hundred forty-three thousand, two hundred forty-one".