Search a number
-
+
33131333321 is a prime number
BaseRepresentation
bin11110110110110010…
…000000011011001001
310011111222110010011022
4132312302000123021
51020323110131241
623115331242225
72252011454342
oct366662003311
9104458403138
1033131333321
1113061857109
126507749375
133180040c58
14186427b0c9
15cdd9b154b
hex7b6c806c9

33131333321 has 2 divisors, whose sum is σ = 33131333322. Its totient is φ = 33131333320.

The previous prime is 33131333251. The next prime is 33131333327. The reversal of 33131333321 is 12333313133.

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., 32143111225 + 988222096 = 179285^2 + 31436^2 .

It is an emirp because it is prime and its reverse (12333313133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33131333321 - 218 = 33131071177 is a prime.

It is not a weakly prime, because it can be changed into another prime (33131333327) 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, 16565666660 + 16565666661.

It is an arithmetic number, because the mean of its divisors is an integer number (16565666661).

Almost surely, 233131333321 is an apocalyptic number.

It is an amenable number.

33131333321 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131333321 is an equidigital number, since it uses as much as digits as its factorization.

33131333321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 26.

Adding to 33131333321 its reverse (12333313133), we get a palindrome (45464646454).

The spelling of 33131333321 in words is "thirty-three billion, one hundred thirty-one million, three hundred thirty-three thousand, three hundred twenty-one".