233742045306100 has 72 divisors (see below), whose sum is σ = 508433814278208. Its totient is φ = 93273217920000.

The previous prime is 233742045306089. The next prime is 233742045306101. The reversal of 233742045306100 is 1603540247332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233742045306101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186221209 + ... + 187472191.

It is an arithmetic number, because the mean of its divisors is an integer number (7061580753864).

Almost surely, 2^{233742045306100} is an apocalyptic number.

233742045306100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233742045306100 is an abundant number, since it is smaller than the sum of its proper divisors (274691768972108).

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

233742045306100 is a wasteful number, since it uses less digits than its factorization.

233742045306100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255465 (or 1255458 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 233742045306100 in words is "two hundred thirty-three trillion, seven hundred forty-two billion, forty-five million, three hundred six thousand, one hundred".