1002029301820 has 24 divisors (see below), whose sum is σ = 2116861909344. Its totient is φ = 398411649216.

The previous prime is 1002029301799. The next prime is 1002029301857. The reversal of 1002029301820 is 281039202001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 150001047 + ... + 150007726.

It is an arithmetic number, because the mean of its divisors is an integer number (88202579556).

Almost surely, 2^{1002029301820} is an apocalyptic number.

1002029301820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002029301820 is an abundant number, since it is smaller than the sum of its proper divisors (1114832607524).

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

1002029301820 is a wasteful number, since it uses less digits than its factorization.

1002029301820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300008949 (or 300008947 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 1002029301820 in words is "one trillion, two billion, twenty-nine million, three hundred one thousand, eight hundred twenty".