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300131122103041 is a prime number
BaseRepresentation
bin100010000111101111011100…
…0111010110100001100000001
31110100200020212221022120110211
41010033132320322310030001
5303314322014224244131
62542154200053554121
7120134520665115625
oct10417367072641401
91410606787276424
10300131122103041
11876a3992030239
12297b3509645941
13cb613218c8a38
1454185d0d55185
1524a7174e725b1
hex110f7b8eb4301

300131122103041 has 2 divisors, whose sum is σ = 300131122103042. Its totient is φ = 300131122103040.

The previous prime is 300131122103011. The next prime is 300131122103077. The reversal of 300131122103041 is 140301221131003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259282777107600 + 40848344995441 = 16102260^2 + 6391271^2 .

It is a cyclic number.

It is not a de Polignac number, because 300131122103041 - 25 = 300131122103009 is a prime.

It is not a weakly prime, because it can be changed into another prime (300131122103011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150065561051520 + 150065561051521.

It is an arithmetic number, because the mean of its divisors is an integer number (150065561051521).

Almost surely, 2300131122103041 is an apocalyptic number.

It is an amenable number.

300131122103041 is a deficient number, since it is larger than the sum of its proper divisors (1).

300131122103041 is an equidigital number, since it uses as much as digits as its factorization.

300131122103041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 300131122103041 its reverse (140301221131003), we get a palindrome (440432343234044).

The spelling of 300131122103041 in words is "three hundred trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred three thousand, forty-one".