11302210000 has 100 divisors (see below), whose sum is σ = 27617487700. Its totient is φ = 4478976000.

The previous prime is 11302209973. The next prime is 11302210027. The reversal of 11302210000 is 1220311.

It is an interprime number because it is at equal distance from previous prime (11302209973) and next prime (11302210027).

It can be written as a sum of positive squares in 10 ways, for example, as 10125994384 + 1176215616 = 100628^2 + 34296^2 .

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

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1084816 + ... + 1095184.

It is an arithmetic number, because the mean of its divisors is an integer number (276174877).

Almost surely, 2^11302210000 is an apocalyptic number.

11302210000 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 11302210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808743850).

11302210000 is an abundant number, since it is smaller than the sum of its proper divisors (16315277700).

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

11302210000 is a wasteful number, since it uses less digits than its factorization.

11302210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10506 (or 10485 counting only the distinct ones).

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

Adding to 11302210000 its reverse (1220311), we get a palindrome (11303430311).

The spelling of 11302210000 in words is "eleven billion, three hundred two million, two hundred ten thousand".