Search a number
-
+
12223220223113 is a prime number
BaseRepresentation
bin1011000111011111000010…
…1100110000110010001001
31121021112021020022100012022
42301313300230300302021
53100231123334114423
641555134142054225
72401045535422004
oct261676054606211
947245236270168
1012223220223113
113992925180339
121454b3787a375
136a884c5b6043
1430386d91653b
15162e49ba5dc8
hexb1df0b30c89

12223220223113 has 2 divisors, whose sum is σ = 12223220223114. Its totient is φ = 12223220223112.

The previous prime is 12223220223091. The next prime is 12223220223157. The reversal of 12223220223113 is 31132202232221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11441928638464 + 781291584649 = 3382592^2 + 883907^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223220223113 - 212 = 12223220219017 is a prime.

It is a super-2 number, since 2×122232202231132 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12223220223163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111610111556 + 6111610111557.

It is an arithmetic number, because the mean of its divisors is an integer number (6111610111557).

Almost surely, 212223220223113 is an apocalyptic number.

It is an amenable number.

12223220223113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223220223113 is an equidigital number, since it uses as much as digits as its factorization.

12223220223113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12223220223113 its reverse (31132202232221), we get a palindrome (43355422455334).

The spelling of 12223220223113 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty million, two hundred twenty-three thousand, one hundred thirteen".