230214134010300 has 1152 divisors, whose sum is σ = 778367261306880. Its totient is φ = 52019573760000.

The previous prime is 230214134010281. The next prime is 230214134010391. The reversal of 230214134010300 is 3010431412032.

It is a happy number.

230214134010300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230214134010300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 127119896395 + ... + 127119898205.

It is an arithmetic number, because the mean of its divisors is an integer number (675666025440).

Almost surely, 2^{230214134010300} is an apocalyptic number.

230214134010300 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 230214134010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389183630653440).

230214134010300 is an abundant number, since it is smaller than the sum of its proper divisors (548153127296580).

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

230214134010300 is a wasteful number, since it uses less digits than its factorization.

230214134010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 230214134010300 its reverse (3010431412032), we get a palindrome (233224565422332).

The spelling of 230214134010300 in words is "two hundred thirty trillion, two hundred fourteen billion, one hundred thirty-four million, ten thousand, three hundred".