Search a number
-
+
301113312133 is a prime number
BaseRepresentation
bin1000110000110111100…
…00001000001110000101
31001210020002211010212211
410120123300020032011
514413140001442013
6350155103143421
730516603631324
oct4303360101605
91053202733784
10301113312133
11106779684177
124a4362a4b71
132251969089a
1410806d480bb
157c752c423d
hex461bc08385

301113312133 has 2 divisors, whose sum is σ = 301113312134. Its totient is φ = 301113312132.

The previous prime is 301113312131. The next prime is 301113312139. The reversal of 301113312133 is 331213311103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294754525569 + 6358786564 = 542913^2 + 79742^2 .

It is a cyclic number.

It is not a de Polignac number, because 301113312133 - 21 = 301113312131 is a prime.

Together with 301113312131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301113312131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150556656066 + 150556656067.

It is an arithmetic number, because the mean of its divisors is an integer number (150556656067).

Almost surely, 2301113312133 is an apocalyptic number.

It is an amenable number.

301113312133 is a deficient number, since it is larger than the sum of its proper divisors (1).

301113312133 is an equidigital number, since it uses as much as digits as its factorization.

301113312133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 301113312133 its reverse (331213311103), we get a palindrome (632326623236).

The spelling of 301113312133 in words is "three hundred one billion, one hundred thirteen million, three hundred twelve thousand, one hundred thirty-three".