11034100224 has 480 divisors, whose sum is σ = 38607528960. Its totient is φ = 2965856256.

The previous prime is 11034100211. The next prime is 11034100237. The reversal of 11034100224 is 42200143011.

It is an interprime number because it is at equal distance from previous prime (11034100211) and next prime (11034100237).

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

It is a junction number, because it is equal to n+sod(n) for n = 11034100197 and 11034100206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79381947 + ... + 79382085.

It is an arithmetic number, because the mean of its divisors is an integer number (80432352).

Almost surely, 2^11034100224 is an apocalyptic number.

11034100224 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 11034100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303764480).

11034100224 is an abundant number, since it is smaller than the sum of its proper divisors (27573428736).

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

11034100224 is a wasteful number, since it uses less digits than its factorization.

11034100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11034100224 its reverse (42200143011), we get a palindrome (53234243235).

The spelling of 11034100224 in words is "eleven billion, thirty-four million, one hundred thousand, two hundred twenty-four".