1141233100 has 144 divisors (see below), whose sum is σ = 3037305600. Its totient is φ = 363467520.

The previous prime is 1141233097. The next prime is 1141233133. The reversal of 1141233100 is 13321411.

It is a super-2 number, since 2×1141233100² = 2604825977071220000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 704091 + ... + 705709.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2^1141233100 is an apocalyptic number.

1141233100 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 1141233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518652800).

1141233100 is an abundant number, since it is smaller than the sum of its proper divisors (1896072500).

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

1141233100 is a wasteful number, since it uses less digits than its factorization.

1141233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1141233100 is about 33782.1417319861. The cubic root of 1141233100 is about 1045.0204432712.

Adding to 1141233100 its reverse (13321411), we get a palindrome (1154554511).

The spelling of 1141233100 in words is "one billion, one hundred forty-one million, two hundred thirty-three thousand, one hundred".