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131112304101240 = 2335711374171131743
BaseRepresentation
bin11101110011111011110110…
…010011111100011101111000
3122012020012202220102011022220
4131303323312103330131320
5114141120444322214430
61142504054435044040
736421360056443340
oct3563736623743570
9565205686364286
10131112304101240
113885a463635630
1212856539440620
135820ab64ca727
142453c25803d20
1510257ea339110
hex773ef64fc778

131112304101240 has 1024 divisors, whose sum is σ = 523202683207680. Its totient is φ = 25496819712000.

The previous prime is 131112304101209. The next prime is 131112304101323. The reversal of 131112304101240 is 42101403211131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131112304101240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 995146809 + ... + 995278551.

It is an arithmetic number, because the mean of its divisors is an integer number (510940120320).

Almost surely, 2131112304101240 is an apocalyptic number.

131112304101240 is a gapful number since it is divisible by the number (10) 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 131112304101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261601341603840).

131112304101240 is an abundant number, since it is smaller than the sum of its proper divisors (392090379106440).

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

131112304101240 is a wasteful number, since it uses less digits than its factorization.

131112304101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131924 (or 131920 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131112304101240 its reverse (42101403211131), we get a palindrome (173213707312371).

The spelling of 131112304101240 in words is "one hundred thirty-one trillion, one hundred twelve billion, three hundred four million, one hundred one thousand, two hundred forty".