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300020131313 = 71919711450713
BaseRepresentation
bin1000101110110101001…
…01111110010111110001
31001200101220210210201022
410113122211332113301
514403420123200223
6345454412345225
730450531016250
oct4273245762761
91050356723638
10300020131313
111062685a7251
124a190175215
13223a4059a26
1410741aa2797
157c0e338ac8
hex45da97e5f1

300020131313 has 16 divisors (see below), whose sum is σ = 362758619520. Its totient is φ = 242388671616.

The previous prime is 300020131283. The next prime is 300020131331. The reversal of 300020131313 is 313131020003.

It is not a de Polignac number, because 300020131313 - 218 = 300019869169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300020131291 and 300020131300.

It is not an unprimeable number, because it can be changed into a prime (300020131393) 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 in 15 ways as a sum of consecutive naturals, for example, 5699156 + ... + 5751557.

It is an arithmetic number, because the mean of its divisors is an integer number (22672413720).

Almost surely, 2300020131313 is an apocalyptic number.

It is an amenable number.

300020131313 is a deficient number, since it is larger than the sum of its proper divisors (62738488207).

300020131313 is a wasteful number, since it uses less digits than its factorization.

300020131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450936.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 300020131313 its reverse (313131020003), we get a palindrome (613151151316).

The spelling of 300020131313 in words is "three hundred billion, twenty million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 7 19 133 197 1379 3743 26201 11450713 80154991 217563547 1522944829 2255790461 15790533227 42860018759 300020131313