23223313033100 has 144 divisors (see below), whose sum is σ = 53359254289152. Its totient is φ = 8758848000000.

The previous prime is 23223313033087. The next prime is 23223313033127. The reversal of 23223313033100 is 133031332232.

It is a happy number.

It is a super-2 number, since 2×23223313033100² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23223313033100.

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 47 ways as a sum of consecutive naturals, for example, 96603050 + ... + 96843150.

It is an arithmetic number, because the mean of its divisors is an integer number (370550377008).

Almost surely, 2^{23223313033100} is an apocalyptic number.

23223313033100 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 23223313033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26679627144576).

23223313033100 is an abundant number, since it is smaller than the sum of its proper divisors (30135941256052).

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

23223313033100 is a wasteful number, since it uses less digits than its factorization.

23223313033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240948 (or 240941 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 23223313033100 its reverse (133031332232), we get a palindrome (23356344365332).

The spelling of 23223313033100 in words is "twenty-three trillion, two hundred twenty-three billion, three hundred thirteen million, thirty-three thousand, one hundred".