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300331111301 = 136122910331601
BaseRepresentation
bin1000101111011010010…
…00010001001110000101
31001201012120222020001122
410113231020101032011
514410034231030201
6345545322003325
730461325216404
oct4275510211605
91051176866048
10300331111301
111064080a0101
124a258346545
1322423600460
14107710d363b
157c2b7b5e1b
hex45ed211385

300331111301 has 32 divisors (see below), whose sum is σ = 330697271520. Its totient is φ = 271060992000.

The previous prime is 300331111291. The next prime is 300331111309. The reversal of 300331111301 is 103111133003.

It can be written as a sum of positive squares in 16 ways, for example, as 411684100 + 299919427201 = 20290^2 + 547649^2 .

It is a cyclic number.

It is not a de Polignac number, because 300331111301 - 26 = 300331111237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 300331111301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300331111309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187588901 + ... + 187590501.

It is an arithmetic number, because the mean of its divisors is an integer number (10334289735).

Almost surely, 2300331111301 is an apocalyptic number.

It is an amenable number.

300331111301 is a deficient number, since it is larger than the sum of its proper divisors (30366160219).

300331111301 is a wasteful number, since it uses less digits than its factorization.

300331111301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 300331111301 its reverse (103111133003), we get a palindrome (403442244304).

The spelling of 300331111301 in words is "three hundred billion, three hundred thirty-one million, one hundred eleven thousand, three hundred one".

Divisors: 1 13 61 229 793 1033 1601 2977 13429 13969 20813 63013 97661 181597 236557 366629 819169 1269593 1653833 3075241 4766177 14429977 21499829 22364369 100883813 187589701 290736797 378727757 1311489569 4923460841 23102393177 300331111301