23330450022100 has 144 divisors (see below), whose sum is σ = 56086436970928. Its totient is φ = 8367817052160.

The previous prime is 23330450022079. The next prime is 23330450022109. The reversal of 23330450022100 is 122005403332.

It can be written as a sum of positive squares in 24 ways, for example, as 16048644917776 + 7281805104324 = 4006076^2 + 2698482^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330450022109) by changing a digit.

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, 29089672 + ... + 29880928.

Almost surely, 2^{23330450022100} is an apocalyptic number.

23330450022100 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 23330450022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28043218485464).

23330450022100 is an abundant number, since it is smaller than the sum of its proper divisors (32755986948828).

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

23330450022100 is a wasteful number, since it uses less digits than its factorization.

23330450022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791934 (or 791927 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 23330450022100 its reverse (122005403332), we get a palindrome (23452455425432).

The spelling of 23330450022100 in words is "twenty-three trillion, three hundred thirty billion, four hundred fifty million, twenty-two thousand, one hundred".