Search a number
-
+
30144122341 is a prime number
BaseRepresentation
bin11100000100101110…
…101100110111100101
32212210210111002001121
4130010232230313211
5443213343403331
621503101053541
72114666545414
oct340456546745
985723432047
1030144122341
1111869631303
125a132572b1
132ac51b68a8
14165d64347b
15bb65e6c11
hex704bacde5

30144122341 has 2 divisors, whose sum is σ = 30144122342. Its totient is φ = 30144122340.

The previous prime is 30144122311. The next prime is 30144122347. The reversal of 30144122341 is 14322144103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30140432100 + 3690241 = 173610^2 + 1921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30144122341 is a prime.

It is a super-2 number, since 2×301441223412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30144122347) 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, 15072061170 + 15072061171.

It is an arithmetic number, because the mean of its divisors is an integer number (15072061171).

Almost surely, 230144122341 is an apocalyptic number.

It is an amenable number.

30144122341 is a deficient number, since it is larger than the sum of its proper divisors (1).

30144122341 is an equidigital number, since it uses as much as digits as its factorization.

30144122341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 30144122341 its reverse (14322144103), we get a palindrome (44466266444).

The spelling of 30144122341 in words is "thirty billion, one hundred forty-four million, one hundred twenty-two thousand, three hundred forty-one".