10220524343345 has 16 divisors (see below), whose sum is σ = 12572182001232. Its totient is φ = 7971651440640.

The previous prime is 10220524343333. The next prime is 10220524343363. The reversal of 10220524343345 is 54334342502201.

It can be written as a sum of positive squares in 8 ways, for example, as 220463104 + 10220303880241 = 14848^2 + 3196921^2 .

It is not a de Polignac number, because 10220524343345 - 2⁸ = 10220524343089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220524343299 and 10220524343308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16390592 + ... + 17002721.

It is an arithmetic number, because the mean of its divisors is an integer number (785761375077).

Almost surely, 2^{10220524343345} is an apocalyptic number.

It is an amenable number.

10220524343345 is a deficient number, since it is larger than the sum of its proper divisors (2351657657887).

10220524343345 is a wasteful number, since it uses less digits than its factorization.

10220524343345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33394852.

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 10220524343345 its reverse (54334342502201), we get a palindrome (64554866845546).

The spelling of 10220524343345 in words is "ten trillion, two hundred twenty billion, five hundred twenty-four million, three hundred forty-three thousand, three hundred forty-five".