233420003010300 has 144 divisors (see below), whose sum is σ = 680226962688000. Its totient is φ = 61798087353600.

The previous prime is 233420003010287. The next prime is 233420003010301. The reversal of 233420003010300 is 3010300024332.

It is a super-3 number, since 3×233420003010300³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233420003010301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28937461 + ... + 36113939.

It is an arithmetic number, because the mean of its divisors is an integer number (4723798352000).

Almost surely, 2^{233420003010300} is an apocalyptic number.

233420003010300 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 233420003010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340113481344000).

233420003010300 is an abundant number, since it is smaller than the sum of its proper divisors (446806959677700).

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

233420003010300 is a wasteful number, since it uses less digits than its factorization.

233420003010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177276 (or 7177269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233420003010300 its reverse (3010300024332), we get a palindrome (236430303034632).

The spelling of 233420003010300 in words is "two hundred thirty-three trillion, four hundred twenty billion, three million, ten thousand, three hundred".