303114102114042 has 192 divisors, whose sum is σ = 719136570407040. Its totient is φ = 94617695158272.

The previous prime is 303114102114013. The next prime is 303114102114121. The reversal of 303114102114042 is 240411201411303.

It is a happy number.

303114102114042 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 1 + 41 + 0 + 211 + 404 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 303114102113997 and 303114102114015.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2989918458 + ... + 2990019834.

It is an arithmetic number, because the mean of its divisors is an integer number (3745502970870).

Almost surely, 2^{303114102114042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303114102114042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359568285203520).

303114102114042 is an abundant number, since it is smaller than the sum of its proper divisors (416022468292998).

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

303114102114042 is a wasteful number, since it uses less digits than its factorization.

303114102114042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102382 (or 102359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 303114102114042 its reverse (240411201411303), we get a palindrome (543525303525345).

The spelling of 303114102114042 in words is "three hundred three trillion, one hundred fourteen billion, one hundred two million, one hundred fourteen thousand, forty-two".