10224030410320 has 20 divisors (see below), whose sum is σ = 23770870704180. Its totient is φ = 4089612164096.

The previous prime is 10224030410317. The next prime is 10224030410353. The reversal of 10224030410320 is 2301403042201.

10224030410320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3494820869136 + 6729209541184 = 1869444^2 + 2594072^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10224030410320² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10224030410291 and 10224030410300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63900189985 + ... + 63900190144.

It is an arithmetic number, because the mean of its divisors is an integer number (1188543535209).

Almost surely, 2^{10224030410320} is an apocalyptic number.

10224030410320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224030410320 is an abundant number, since it is smaller than the sum of its proper divisors (13546840293860).

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

10224030410320 is a wasteful number, since it uses less digits than its factorization.

10224030410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127800380142 (or 127800380136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10224030410320 its reverse (2301403042201), we get a palindrome (12525433452521).

The spelling of 10224030410320 in words is "ten trillion, two hundred twenty-four billion, thirty million, four hundred ten thousand, three hundred twenty".