Search a number
-
+
3031331320033 is a prime number
BaseRepresentation
bin101100000111001001011…
…011010011000011100001
3101201210101200200020120121
4230013021123103003201
5344131131304220113
610240324022240241
7432002134040332
oct54071133230341
911653350606517
103031331320033
11a6964255a1a5
1240b5aa886081
1318cb12977a23
14a6a08096289
1553cba197e8d
hex2c1c96d30e1

3031331320033 has 2 divisors, whose sum is σ = 3031331320034. Its totient is φ = 3031331320032.

The previous prime is 3031331319997. The next prime is 3031331320123. The reversal of 3031331320033 is 3300231331303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1947219303184 + 1084112016849 = 1395428^2 + 1041207^2 .

It is an emirp because it is prime and its reverse (3300231331303) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3031331320033 is a prime.

It is not a weakly prime, because it can be changed into another prime (3031331320733) 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, 1515665660016 + 1515665660017.

It is an arithmetic number, because the mean of its divisors is an integer number (1515665660017).

Almost surely, 23031331320033 is an apocalyptic number.

It is an amenable number.

3031331320033 is a deficient number, since it is larger than the sum of its proper divisors (1).

3031331320033 is an equidigital number, since it uses as much as digits as its factorization.

3031331320033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 3031331320033 its reverse (3300231331303), we get a palindrome (6331562651336).

The spelling of 3031331320033 in words is "three trillion, thirty-one billion, three hundred thirty-one million, three hundred twenty thousand, thirty-three".