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331342100300000 = 255537233384343
BaseRepresentation
bin100101101010110101001100…
…0001100000000000011100000
31121110011222212200010122000202
41023111222120030000003200
5321412202110134100000
63132412243130404332
7126535451062405256
oct11325523014000340
91543158780118022
10331342100300000
1196637439604229
12311b439ab906a8
13112b656cb852ca
145bb70868625d6
152848e7d61add5
hex12d5a983000e0

331342100300000 has 288 divisors, whose sum is σ = 840992936382144. Its totient is φ = 128400975360000.

The previous prime is 331342100299979. The next prime is 331342100300039. The reversal of 331342100300000 is 3001243133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861907829 + ... + 862292171.

It is an arithmetic number, because the mean of its divisors is an integer number (2920114362438).

Almost surely, 2331342100300000 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 331342100300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420496468191072).

331342100300000 is an abundant number, since it is smaller than the sum of its proper divisors (509650836082144).

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

331342100300000 is an equidigital number, since it uses as much as digits as its factorization.

331342100300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384648 (or 384620 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 331342100300000 its reverse (3001243133), we get a palindrome (331345101543133).

The spelling of 331342100300000 in words is "three hundred thirty-one trillion, three hundred forty-two billion, one hundred million, three hundred thousand".