Search a number
-
+
123013322027 is a prime number
BaseRepresentation
bin111001010010000101…
…0100101010100101011
3102202112000021020012222
41302210022211110223
54003412402301102
6132302254224255
711613245661551
oct1624412452453
9382460236188
10123013322027
11481958a4602
121ba10ab508b
13b7a558455b
145d4d619bd1
1532ee7cbaa2
hex1ca42a552b

123013322027 has 2 divisors, whose sum is σ = 123013322028. Its totient is φ = 123013322026.

The previous prime is 123013321999. The next prime is 123013322041. The reversal of 123013322027 is 720223310321.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (720223310321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123013322027 - 214 = 123013305643 is a prime.

It is a super-2 number, since 2×1230133220272 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123013321987 and 123013322005.

It is not a weakly prime, because it can be changed into another prime (123013325027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506661013 + 61506661014.

It is an arithmetic number, because the mean of its divisors is an integer number (61506661014).

Almost surely, 2123013322027 is an apocalyptic number.

123013322027 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013322027 is an equidigital number, since it uses as much as digits as its factorization.

123013322027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 123013322027 its reverse (720223310321), we get a palindrome (843236632348).

The spelling of 123013322027 in words is "one hundred twenty-three billion, thirteen million, three hundred twenty-two thousand, twenty-seven".