1002316682900 has 144 divisors (see below), whose sum is σ = 2403763690944. Its totient is φ = 360430801920.

The previous prime is 1002316682881. The next prime is 1002316682911. The reversal of 1002316682900 is 92866132001.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 19371464 + ... + 19423136.

Almost surely, 2^{1002316682900} is an apocalyptic number.

1002316682900 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 1002316682900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201881845472).

1002316682900 is an abundant number, since it is smaller than the sum of its proper divisors (1401447008044).

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

1002316682900 is a wasteful number, since it uses less digits than its factorization.

1002316682900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52090 (or 52083 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 1002316682900 in words is "one trillion, two billion, three hundred sixteen million, six hundred eighty-two thousand, nine hundred".