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131703513840 = 243351711813037
BaseRepresentation
bin111101010101000100…
…1000010001011110000
3110120221122101201022000
41322222021002023300
54124212044420330
6140300451214000
712341510253003
oct1725211021360
9416848351260
10131703513840
1150945222308
12216372a7300
13c55bab15a2
14653582753a
15365c6ad560
hex1eaa2422f0

131703513840 has 320 divisors, whose sum is σ = 480895470720. Its totient is φ = 33016135680.

The previous prime is 131703513793. The next prime is 131703513901. The reversal of 131703513840 is 48315307131.

131703513840 is a `hidden beast` number, since 1 + 31 + 70 + 3 + 513 + 8 + 40 = 666.

131703513840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131703513795 and 131703513804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43364802 + ... + 43367838.

It is an arithmetic number, because the mean of its divisors is an integer number (1502798346).

Almost surely, 2131703513840 is an apocalyptic number.

131703513840 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 131703513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240447735360).

131703513840 is an abundant number, since it is smaller than the sum of its proper divisors (349191956880).

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

131703513840 is a wasteful number, since it uses less digits than its factorization.

131703513840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 131703513840 in words is "one hundred thirty-one billion, seven hundred three million, five hundred thirteen thousand, eight hundred forty".