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300141404331133 is a prime number
BaseRepresentation
bin100010000111110100001110…
…1110010011001110001111101
31110100201020102112010212202111
41010033220131302121301331
5303320004044002044013
62542203020241454021
7120135333540451201
oct10417503562316175
91410636375125674
10300141404331133
11876a8289090402
12297b54b9041311
13cb6229cc00a81
145418cc8782b01
1524a75779cd73d
hex110fa1dc99c7d

300141404331133 has 2 divisors, whose sum is σ = 300141404331134. Its totient is φ = 300141404331132.

The previous prime is 300141404331091. The next prime is 300141404331149. The reversal of 300141404331133 is 331133404141003.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271075051423449 + 29066352907684 = 16464357^2 + 5391322^2 .

It is a cyclic number.

It is not a de Polignac number, because 300141404331133 - 225 = 300141370776701 is a prime.

It is a super-2 number, since 2×3001414043311332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300141404331095 and 300141404331104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300141404331173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150070702165566 + 150070702165567.

It is an arithmetic number, because the mean of its divisors is an integer number (150070702165567).

Almost surely, 2300141404331133 is an apocalyptic number.

It is an amenable number.

300141404331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

300141404331133 is an equidigital number, since it uses as much as digits as its factorization.

300141404331133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 300141404331133 its reverse (331133404141003), we get a palindrome (631274808472136).

The spelling of 300141404331133 in words is "three hundred trillion, one hundred forty-one billion, four hundred four million, three hundred thirty-one thousand, one hundred thirty-three".