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300113313001 is a prime number
BaseRepresentation
bin1000101111000000010…
…01011011110011101001
31001200122102010220221221
410113200021123303221
514404113002004001
6345511541502041
730453042033055
oct4274011336351
91050572126857
10300113313001
11106306161007
124a1b7411921
13223ba453c18
14107501dac65
157c175e31a1
hex45e025bce9

300113313001 has 2 divisors, whose sum is σ = 300113313002. Its totient is φ = 300113313000.

The previous prime is 300113312969. The next prime is 300113313011. The reversal of 300113313001 is 100313311003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282943141776 + 17170171225 = 531924^2 + 131035^2 .

It is a cyclic number.

It is not a de Polignac number, because 300113313001 - 25 = 300113312969 is a prime.

It is not a weakly prime, because it can be changed into another prime (300113313011) 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, 150056656500 + 150056656501.

It is an arithmetic number, because the mean of its divisors is an integer number (150056656501).

Almost surely, 2300113313001 is an apocalyptic number.

It is an amenable number.

300113313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

300113313001 is an equidigital number, since it uses as much as digits as its factorization.

300113313001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 300113313001 its reverse (100313311003), we get a palindrome (400426624004).

The spelling of 300113313001 in words is "three hundred billion, one hundred thirteen million, three hundred thirteen thousand, one".