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300086031332137 is a prime number
BaseRepresentation
bin100010000111011010011100…
…1010011001011001100101001
31110100111221111111002002010211
41010032310321103023030221
5303313102143010112022
62542121341502141121
7120131333413644301
oct10416647123131451
91410457444062124
10300086031332137
1187686853507716
12297a68248817a1
13cb59cb6c55acb
145416354618601
1524a5dd65a3e77
hex110ed394cb329

300086031332137 has 2 divisors, whose sum is σ = 300086031332138. Its totient is φ = 300086031332136.

The previous prime is 300086031332107. The next prime is 300086031332177. The reversal of 300086031332137 is 731233130680003.

It is an a-pointer prime, because the next prime (300086031332177) can be obtained adding 300086031332137 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 270184699791616 + 29901331540521 = 16437296^2 + 5468211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-300086031332137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 300086031332137.

It is not a weakly prime, because it can be changed into another prime (300086031332107) 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, 150043015666068 + 150043015666069.

It is an arithmetic number, because the mean of its divisors is an integer number (150043015666069).

Almost surely, 2300086031332137 is an apocalyptic number.

It is an amenable number.

300086031332137 is a deficient number, since it is larger than the sum of its proper divisors (1).

300086031332137 is an equidigital number, since it uses as much as digits as its factorization.

300086031332137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 300086031332137 in words is "three hundred trillion, eighty-six billion, thirty-one million, three hundred thirty-two thousand, one hundred thirty-seven".