234130031300400 has 120 divisors (see below), whose sum is σ = 751185120075264. Its totient is φ = 62335729209600.

The previous prime is 234130031300353. The next prime is 234130031300447. The reversal of 234130031300400 is 4003130031432.

It is an interprime number because it is at equal distance from previous prime (234130031300353) and next prime (234130031300447).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 153845304 + ... + 155359703.

Almost surely, 2^{234130031300400} is an apocalyptic number.

234130031300400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234130031300400 is an abundant number, since it is smaller than the sum of its proper divisors (517055088774864).

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

234130031300400 is a wasteful number, since it uses less digits than its factorization.

234130031300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309205659 (or 309205648 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 234130031300400 its reverse (4003130031432), we get a palindrome (238133161331832).

The spelling of 234130031300400 in words is "two hundred thirty-four trillion, one hundred thirty billion, thirty-one million, three hundred thousand, four hundred".