1000300312 has 64 divisors (see below), whose sum is σ = 2141429760. Its totient is φ = 433900800.

The previous prime is 1000300297. The next prime is 1000300319. The reversal of 1000300312 is 2130030001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000300319) 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 in 15 ways as a sum of consecutive naturals, for example, 196633 + ... + 201655.

It is an arithmetic number, because the mean of its divisors is an integer number (33459840).

Almost surely, 2^1000300312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070714880).

1000300312 is an abundant number, since it is smaller than the sum of its proper divisors (1141129448).

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

1000300312 is a wasteful number, since it uses less digits than its factorization.

1000300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1000300312 is about 31627.5245948841. The cubic root of 1000300312 is about 1000.1000939809.

Adding to 1000300312 its reverse (2130030001), we get a palindrome (3130330313).

The spelling of 1000300312 in words is "one billion, three hundred thousand, three hundred twelve".