Search a number
-
+
2022123113233 is a prime number
BaseRepresentation
bin11101011011001111111…
…011100000101100010001
321011022110020101110001021
4131123033323200230101
5231112302004110413
64144541152035441
7266044044602326
oct35331773405421
97138406343037
102022123113233
1170a639865243
12287a98b32b81
131188baa60312
146dc2ab1ab4d
153790032918d
hex1d6cfee0b11

2022123113233 has 2 divisors, whose sum is σ = 2022123113234. Its totient is φ = 2022123113232.

The previous prime is 2022123113203. The next prime is 2022123113249. The reversal of 2022123113233 is 3323113212202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1321046799424 + 701076313809 = 1149368^2 + 837303^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022123113233 - 217 = 2022122982161 is a prime.

It is a super-2 number, since 2×20221231132332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2022123113198 and 2022123113207.

It is not a weakly prime, because it can be changed into another prime (2022123113203) 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, 1011061556616 + 1011061556617.

It is an arithmetic number, because the mean of its divisors is an integer number (1011061556617).

Almost surely, 22022123113233 is an apocalyptic number.

It is an amenable number.

2022123113233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022123113233 is an equidigital number, since it uses as much as digits as its factorization.

2022123113233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2022123113233 its reverse (3323113212202), we get a palindrome (5345236325435).

The spelling of 2022123113233 in words is "two trillion, twenty-two billion, one hundred twenty-three million, one hundred thirteen thousand, two hundred thirty-three".