1983350100 has 72 divisors (see below), whose sum is σ = 5846813280. Its totient is φ = 518910080.

The previous prime is 1983350081. The next prime is 1983350111. The reversal of 1983350100 is 10533891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46470 + ... + 78269.

It is an arithmetic number, because the mean of its divisors is an integer number (81205740).

Almost surely, 2^1983350100 is an apocalyptic number.

1983350100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1983350100 is an abundant number, since it is smaller than the sum of its proper divisors (3863463180).

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

1983350100 is a wasteful number, since it uses less digits than its factorization.

1983350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124809 (or 124802 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1983350100 is about 44534.8189622457. The cubic root of 1983350100 is about 1256.4150427948.

Adding to 1983350100 its reverse (10533891), we get a palindrome (1993883991).

The spelling of 1983350100 in words is "one billion, nine hundred eighty-three million, three hundred fifty thousand, one hundred".