223102013022300 has 288 divisors, whose sum is σ = 693990581760000. Its totient is φ = 55159364586240.

The previous prime is 223102013022283. The next prime is 223102013022323. The reversal of 223102013022300 is 3220310201322.

It is a happy number.

It is a super-3 number, since 3×223102013022300³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5508807451 + ... + 5508847949.

It is an arithmetic number, because the mean of its divisors is an integer number (2409689520000).

Almost surely, 2^{223102013022300} is an apocalyptic number.

223102013022300 is a gapful number since it is divisible by the number (20) 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 223102013022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346995290880000).

223102013022300 is an abundant number, since it is smaller than the sum of its proper divisors (470888568737700).

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

223102013022300 is a wasteful number, since it uses less digits than its factorization.

223102013022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61145 (or 61138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 223102013022300 its reverse (3220310201322), we get a palindrome (226322323223622).

The spelling of 223102013022300 in words is "two hundred twenty-three trillion, one hundred two billion, thirteen million, twenty-two thousand, three hundred".