1111993000 has 64 divisors (see below), whose sum is σ = 2651285520. Its totient is φ = 436384000.

The previous prime is 1111992977. The next prime is 1111993049. The reversal of 1111993000 is 3991111.

It can be written as a sum of positive squares in 8 ways, for example, as 95531076 + 1016461924 = 9774^2 + 31882^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42510 + ... + 63490.

Almost surely, 2^1111993000 is an apocalyptic number.

1111993000 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 1111993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325642760).

1111993000 is an abundant number, since it is smaller than the sum of its proper divisors (1539292520).

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

1111993000 is a wasteful number, since it uses less digits than its factorization.

1111993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21055 (or 21041 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 25.

The square root of 1111993000 is about 33346.5590428758. The cubic root of 1111993000 is about 1036.0181195680.

The spelling of 1111993000 in words is "one billion, one hundred eleven million, nine hundred ninety-three thousand".