11309731000 has 256 divisors, whose sum is σ = 28993536000. Its totient is φ = 4115059200.

The previous prime is 11309730983. The next prime is 11309731001. The reversal of 11309731000 is 13790311.

It is a super-2 number, since 2×11309731000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11309731001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89052937 + ... + 89053063.

It is an arithmetic number, because the mean of its divisors is an integer number (113256000).

Almost surely, 2^11309731000 is an apocalyptic number.

11309731000 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 11309731000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496768000).

11309731000 is an abundant number, since it is smaller than the sum of its proper divisors (17683805000).

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

11309731000 is a wasteful number, since it uses less digits than its factorization.

11309731000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 25.

The spelling of 11309731000 in words is "eleven billion, three hundred nine million, seven hundred thirty-one thousand".