1020002300 has 72 divisors (see below), whose sum is σ = 2311102080. Its totient is φ = 390297600.

The previous prime is 1020002299. The next prime is 1020002309. The reversal of 1020002300 is 32000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020002309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 274052 + ... + 277748.

It is an arithmetic number, because the mean of its divisors is an integer number (32098640).

Almost surely, 2^1020002300 is an apocalyptic number.

1020002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155551040).

1020002300 is an abundant number, since it is smaller than the sum of its proper divisors (1291099780).

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

1020002300 is a wasteful number, since it uses less digits than its factorization.

1020002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1020002300 is about 31937.4748532191. The cubic root of 1020002300 is about 1006.6234661714.

Adding to 1020002300 its reverse (32000201), we get a palindrome (1052002501).

The spelling of 1020002300 in words is "one billion, twenty million, two thousand, three hundred".