1103002000 has 80 divisors (see below), whose sum is σ = 2711080944. Its totient is φ = 433920000.

The previous prime is 1103001959. The next prime is 1103002031. The reversal of 1103002000 is 2003011.

It can be written as a sum of positive squares in 8 ways, for example, as 308213136 + 794788864 = 17556^2 + 28192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1103002000² = 2433226824008000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117480 + ... + 126520.

Almost surely, 2^1103002000 is an apocalyptic number.

1103002000 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 1103002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355540472).

1103002000 is an abundant number, since it is smaller than the sum of its proper divisors (1608078944).

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

1103002000 is an equidigital number, since it uses as much as digits as its factorization.

1103002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1103002000 is about 33211.4739209208. The cubic root of 1103002000 is about 1033.2183245802.

Adding to 1103002000 its reverse (2003011), we get a palindrome (1105005011).

The spelling of 1103002000 in words is "one billion, one hundred three million, two thousand".