Search a number
-
+
333022023013 is a prime number
BaseRepresentation
bin1001101100010011010…
…10001100110101100101
31011211120212200121100111
410312021222030311211
520424012114214023
6412553241413021
733026411330041
oct4661152146545
91154525617314
10333022023013
11119263282a09
125466049a171
13255333193b4
1412192a87021
1589e177c00d
hex4d89a8cd65

333022023013 has 2 divisors, whose sum is σ = 333022023014. Its totient is φ = 333022023012.

The previous prime is 333022022959. The next prime is 333022023017. The reversal of 333022023013 is 310320220333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300022394049 + 32999628964 = 547743^2 + 181658^2 .

It is an emirp because it is prime and its reverse (310320220333) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-333022023013 is a prime.

It is a super-2 number, since 2×3330220230132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333022023017) 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, 166511011506 + 166511011507.

It is an arithmetic number, because the mean of its divisors is an integer number (166511011507).

Almost surely, 2333022023013 is an apocalyptic number.

It is an amenable number.

333022023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

333022023013 is an equidigital number, since it uses as much as digits as its factorization.

333022023013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 333022023013 its reverse (310320220333), we get a palindrome (643342243346).

The spelling of 333022023013 in words is "three hundred thirty-three billion, twenty-two million, twenty-three thousand, thirteen".