22011310000 has 100 divisors (see below), whose sum is σ = 56096887000. Its totient is φ = 8341056000.

The previous prime is 22011309989. The next prime is 22011310049. The reversal of 22011310000 is 1311022.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×22011310000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132076 + ... + 247924.

It is an arithmetic number, because the mean of its divisors is an integer number (560968870).

Almost surely, 2^22011310000 is an apocalyptic number.

22011310000 is a gapful number since it is divisible by the number (20) 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 22011310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28048443500).

22011310000 is an abundant number, since it is smaller than the sum of its proper divisors (34085577000).

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

22011310000 is a wasteful number, since it uses less digits than its factorization.

22011310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115896 (or 115875 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 22011310000 its reverse (1311022), we get a palindrome (22012621022).

The spelling of 22011310000 in words is "twenty-two billion, eleven million, three hundred ten thousand".