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300311311014 = 2321113247257743
BaseRepresentation
bin1000101111010111111…
…00101111001010100110
31001201011012201021011200
410113223330233022212
514410014143423024
6345543333343330
730460665011541
oct4275374571246
91051135637150
10300311311014
111063a79a6930
124a251797b46
132241c489c00
141076c61b858
157c29ba42c9
hex45ebf2f2a6

300311311014 has 288 divisors, whose sum is σ = 789097780224. Its totient is φ = 81785733120.

The previous prime is 300311310947. The next prime is 300311311033. The reversal of 300311311014 is 410113113003.

300311311014 is a `hidden beast` number, since 30 + 0 + 311 + 311 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 404187127 + ... + 404187869.

It is an arithmetic number, because the mean of its divisors is an integer number (2739922848).

Almost surely, 2300311311014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300311311014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394548890112).

300311311014 is an abundant number, since it is smaller than the sum of its proper divisors (488786469210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

300311311014 is a wasteful number, since it uses less digits than its factorization.

300311311014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 300311311014 its reverse (410113113003), we get a palindrome (710424424017).

The spelling of 300311311014 in words is "three hundred billion, three hundred eleven million, three hundred eleven thousand, fourteen".