230033103300 has 1728 divisors, whose sum is σ = 1018892120064. Its totient is φ = 41878425600.

The previous prime is 230033103283. The next prime is 230033103331. The reversal of 230033103300 is 3301330032.

230033103300 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 331 + 0 + 330 + 0 = 666.

It is a super-2 number, since 2×230033103300² (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 an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2233331049 + ... + 2233331151.

Almost surely, 2^230033103300 is an apocalyptic number.

230033103300 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 230033103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509446060032).

230033103300 is an abundant number, since it is smaller than the sum of its proper divisors (788859016764).

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

230033103300 is a wasteful number, since it uses less digits than its factorization.

230033103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 230033103300 its reverse (3301330032), we get a palindrome (233334433332).

It can be divided in two parts, 230033 and 103300, that added together give a palindrome (333333).

The spelling of 230033103300 in words is "two hundred thirty billion, thirty-three million, one hundred three thousand, three hundred".