10111343424 has 224 divisors, whose sum is σ = 33818754816. Its totient is φ = 2594488320.

The previous prime is 10111343423. The next prime is 10111343441. The reversal of 10111343424 is 42434311101.

10111343424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10111343394 and 10111343403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111343423) 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 31 ways as a sum of consecutive naturals, for example, 638644 + ... + 654284.

It is an arithmetic number, because the mean of its divisors is an integer number (150976584).

Almost surely, 2^10111343424 is an apocalyptic number.

10111343424 is a gapful number since it is divisible by the number (14) 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 10111343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909377408).

10111343424 is an abundant number, since it is smaller than the sum of its proper divisors (23707411392).

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

10111343424 is a wasteful number, since it uses less digits than its factorization.

10111343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15713 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10111343424 its reverse (42434311101), we get a palindrome (52545654525).

The spelling of 10111343424 in words is "ten billion, one hundred eleven million, three hundred forty-three thousand, four hundred twenty-four".