Search a number
-
+
300301131213 = 343707421373
BaseRepresentation
bin1000101111010110101…
…01111001110111001101
31001201010111120002010000
410113223111321313031
514410004042144323
6345542331234513
730460512333036
oct4275325716715
91051114502100
10300301131213
111063a2183676
124a24a2a8a39
132241a334565
141076b12ba8d
157c28d42e43
hex45eb579dcd

300301131213 has 10 divisors (see below), whose sum is σ = 448597986254. Its totient is φ = 200200754088.

The previous prime is 300301131199. The next prime is 300301131233. The reversal of 300301131213 is 312131103003.

It is a happy number.

300301131213 is a `hidden beast` number, since 300 + 30 + 11 + 312 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 267647918409 + 32653212804 = 517347^2 + 180702^2 .

It is not a de Polignac number, because 300301131213 - 25 = 300301131181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300301131233) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1853710606 + ... + 1853710767.

Almost surely, 2300301131213 is an apocalyptic number.

It is an amenable number.

300301131213 is a deficient number, since it is larger than the sum of its proper divisors (148296855041).

300301131213 is an equidigital number, since it uses as much as digits as its factorization.

300301131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707421385 (or 3707421376 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 300301131213 its reverse (312131103003), we get a palindrome (612432234216).

The spelling of 300301131213 in words is "three hundred billion, three hundred one million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 3707421373 11122264119 33366792357 100100377071 300301131213