Search a number
-
+
220323131011033 is a prime number
BaseRepresentation
bin110010000110000111111001…
…111101011010111111011001
31001220002200111211002200220121
4302012013321331122333121
5212334233233014323113
62100331014334353241
764256551401533041
oct6206077175327731
91056080454080817
10220323131011033
1164224573709626
122086412295b821
1395c24c764139b
143c599a7056721
151a7119c171e8d
hexc861f9f5afd9

220323131011033 has 2 divisors, whose sum is σ = 220323131011034. Its totient is φ = 220323131011032.

The previous prime is 220323131011013. The next prime is 220323131011103. The reversal of 220323131011033 is 330110131323022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182895005681424 + 37428125329609 = 13523868^2 + 6117853^2 .

It is a cyclic number.

It is not a de Polignac number, because 220323131011033 - 237 = 220185692057561 is a prime.

It is a super-2 number, since 2×2203231310110332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220323131010989 and 220323131011007.

It is not a weakly prime, because it can be changed into another prime (220323131011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110161565505516 + 110161565505517.

It is an arithmetic number, because the mean of its divisors is an integer number (110161565505517).

Almost surely, 2220323131011033 is an apocalyptic number.

It is an amenable number.

220323131011033 is a deficient number, since it is larger than the sum of its proper divisors (1).

220323131011033 is an equidigital number, since it uses as much as digits as its factorization.

220323131011033 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 25.

Adding to 220323131011033 its reverse (330110131323022), we get a palindrome (550433262334055).

The spelling of 220323131011033 in words is "two hundred twenty trillion, three hundred twenty-three billion, one hundred thirty-one million, eleven thousand, thirty-three".