302113314142100 has 144 divisors (see below), whose sum is σ = 684227154378096. Its totient is φ = 115697541120000.

The previous prime is 302113314142069. The next prime is 302113314142247. The reversal of 302113314142100 is 1241413311203.

It can be written as a sum of positive squares in 24 ways, for example, as 301387515786256 + 725798355844 = 17360516^2 + 851938^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 302113314142100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43565132 + ... + 50021468.

It is an arithmetic number, because the mean of its divisors is an integer number (4751577460959).

Almost surely, 2^{302113314142100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302113314142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342113577189048).

302113314142100 is an abundant number, since it is smaller than the sum of its proper divisors (382113840235996).

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

302113314142100 is a wasteful number, since it uses less digits than its factorization.

302113314142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456606 (or 6456599 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 302113314142100 its reverse (1241413311203), we get a palindrome (303354727453303).

The spelling of 302113314142100 in words is "three hundred two trillion, one hundred thirteen billion, three hundred fourteen million, one hundred forty-two thousand, one hundred".