10241131140 has 36 divisors (see below), whose sum is σ = 31064765004. Its totient is φ = 2730968256.

The previous prime is 10241131123. The next prime is 10241131141. The reversal of 10241131140 is 4113114201.

It can be written as a sum of positive squares in 2 ways, for example, as 7859886336 + 2381244804 = 88656^2 + 48798^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10241131141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28447407 + ... + 28447766.

It is an arithmetic number, because the mean of its divisors is an integer number (862910139).

Almost surely, 2^10241131140 is an apocalyptic number.

10241131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241131140 is an abundant number, since it is smaller than the sum of its proper divisors (20823633864).

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

10241131140 is a wasteful number, since it uses less digits than its factorization.

10241131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56895188 (or 56895183 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10241131140 its reverse (4113114201), we get a palindrome (14354245341).

The spelling of 10241131140 in words is "ten billion, two hundred forty-one million, one hundred thirty-one thousand, one hundred forty".