1000202320 has 40 divisors (see below), whose sum is σ = 2504355336. Its totient is φ = 369305088.

The previous prime is 1000202303. The next prime is 1000202353. The reversal of 1000202320 is 232020001.

1000202320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21013056 + 979189264 = 4584^2 + 31292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000202297 and 1000202306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479827 + ... + 481906.

Almost surely, 2^1000202320 is an apocalyptic number.

1000202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202320 is an abundant number, since it is smaller than the sum of its proper divisors (1504153016).

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

1000202320 is a wasteful number, since it uses less digits than its factorization.

1000202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961759 (or 961753 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1000202320 is about 31625.9753999778. The cubic root of 1000202320 is about 1000.0674354524.

Adding to 1000202320 its reverse (232020001), we get a palindrome (1232222321).

The spelling of 1000202320 in words is "one billion, two hundred two thousand, three hundred twenty".