1100214431000 has 64 divisors (see below), whose sum is σ = 2586047143680. Its totient is φ = 438112204800.

The previous prime is 1100214430981. The next prime is 1100214431009. The reversal of 1100214431000 is 1344120011.

It is a happy number.

It is a super-2 number, since 2×1100214431000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1100214431000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100214431009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2243849 + ... + 2689848.

It is an arithmetic number, because the mean of its divisors is an integer number (40406986620).

Almost surely, 2^{1100214431000} is an apocalyptic number.

1100214431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100214431000 is an abundant number, since it is smaller than the sum of its proper divisors (1485832712680).

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

1100214431000 is a wasteful number, since it uses less digits than its factorization.

1100214431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933941 (or 4933927 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1100214431000 its reverse (1344120011), we get a palindrome (1101558551011).

The spelling of 1100214431000 in words is "one trillion, one hundred billion, two hundred fourteen million, four hundred thirty-one thousand".