230024042100 has 108 divisors (see below), whose sum is σ = 721426742400. Its totient is φ = 61303233600.

The previous prime is 230024042029. The next prime is 230024042113. The reversal of 230024042100 is 1240420032.

230024042100 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 240 + 421 + 0 + 0 = 666.

It is a super-2 number, since 2×230024042100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1453885 + ... + 1604315.

Almost surely, 2^230024042100 is an apocalyptic number.

230024042100 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 230024042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360713371200).

230024042100 is an abundant number, since it is smaller than the sum of its proper divisors (491402700300).

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

230024042100 is a wasteful number, since it uses less digits than its factorization.

230024042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152150 (or 152140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 230024042100 its reverse (1240420032), we get a palindrome (231264462132).

The spelling of 230024042100 in words is "two hundred thirty billion, twenty-four million, forty-two thousand, one hundred".