Search a number
-
+
300251133004007 is a prime number
BaseRepresentation
bin100010001000100111010101…
…0001000000100100011100111
31110101002201122201000000021202
41010101032222020010203213
5303323303310022112012
62542325244420033115
7120146266656002363
oct10421165210044347
91411081581000252
10300251133004007
118773a877060419
1229812820b3279b
13cb6c73912ba83
1454203378d82a3
1524aa34ad7ccc2
hex11113aa2048e7

300251133004007 has 2 divisors, whose sum is σ = 300251133004008. Its totient is φ = 300251133004006.

The previous prime is 300251133003961. The next prime is 300251133004033. The reversal of 300251133004007 is 700400331152003.

It is a strong prime.

It is an emirp because it is prime and its reverse (700400331152003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300251133004007 - 28 = 300251133003751 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300251133006007) 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, 150125566502003 + 150125566502004.

It is an arithmetic number, because the mean of its divisors is an integer number (150125566502004).

Almost surely, 2300251133004007 is an apocalyptic number.

300251133004007 is a deficient number, since it is larger than the sum of its proper divisors (1).

300251133004007 is an equidigital number, since it uses as much as digits as its factorization.

300251133004007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 29.

The spelling of 300251133004007 in words is "three hundred trillion, two hundred fifty-one billion, one hundred thirty-three million, four thousand, seven".