23130030400 has 84 divisors (see below), whose sum is σ = 56972720700. Its totient is φ = 9242521600.

The previous prime is 23130030397. The next prime is 23130030479. The reversal of 23130030400 is 403003132.

It can be written as a sum of positive squares in 6 ways, for example, as 399040576 + 22730989824 = 19976^2 + 150768^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1671510 + ... + 1685290.

It is an arithmetic number, because the mean of its divisors is an integer number (678246675).

Almost surely, 2^23130030400 is an apocalyptic number.

23130030400 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 23130030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28486360350).

23130030400 is an abundant number, since it is smaller than the sum of its proper divisors (33842690300).

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

23130030400 is a wasteful number, since it uses less digits than its factorization.

23130030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14852 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23130030400 its reverse (403003132), we get a palindrome (23533033532).

The spelling of 23130030400 in words is "twenty-three billion, one hundred thirty million, thirty thousand, four hundred".