Search a number
-
+
305314215133 is a prime number
BaseRepresentation
bin1000111000101100010…
…01010011010011011101
31002012001212120010102211
410130112021103103131
520000240414341013
6352132011120421
731025654003044
oct4342611232335
91065055503384
10305314215133
11108534a07834
124b209143111
1322a38ac45c5
1410ac4c3755b
157e1ded123d
hex47162534dd

305314215133 has 2 divisors, whose sum is σ = 305314215134. Its totient is φ = 305314215132.

The previous prime is 305314215131. The next prime is 305314215137. The reversal of 305314215133 is 331512413503.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304353029124 + 961186009 = 551682^2 + 31003^2 .

It is an emirp because it is prime and its reverse (331512413503) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 305314215133 - 21 = 305314215131 is a prime.

Together with 305314215131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 305314215095 and 305314215104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (305314215131) 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, 152657107566 + 152657107567.

It is an arithmetic number, because the mean of its divisors is an integer number (152657107567).

Almost surely, 2305314215133 is an apocalyptic number.

It is an amenable number.

305314215133 is a deficient number, since it is larger than the sum of its proper divisors (1).

305314215133 is an equidigital number, since it uses as much as digits as its factorization.

305314215133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 305314215133 its reverse (331512413503), we get a palindrome (636826628636).

The spelling of 305314215133 in words is "three hundred five billion, three hundred fourteen million, two hundred fifteen thousand, one hundred thirty-three".