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131096950019280 = 243257233140979231
BaseRepresentation
bin11101110011101101100011…
…001000110001010011010000
3122012011202010211222222111200
4131303231203020301103100
5114140343023201104110
61142453035111511200
736420304430056110
oct3563554310612320
9565152124888450
10131096950019280
11388539a46605a3
1212853573388500
13581c50a4c952b
1424531aa56d040
1510251ec3d16c0
hex773b632314d0

131096950019280 has 480 divisors, whose sum is σ = 505687096811520. Its totient is φ = 29814860021760.

The previous prime is 131096950019279. The next prime is 131096950019311. The reversal of 131096950019280 is 82910059690131.

131096950019280 is a `hidden beast` number, since 1 + 3 + 10 + 96 + 9 + 500 + 19 + 28 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1654577265 + ... + 1654656495.

It is an arithmetic number, because the mean of its divisors is an integer number (1053514785024).

Almost surely, 2131096950019280 is an apocalyptic number.

131096950019280 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 131096950019280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252843548405760).

131096950019280 is an abundant number, since it is smaller than the sum of its proper divisors (374590146792240).

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

131096950019280 is a wasteful number, since it uses less digits than its factorization.

131096950019280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80899 (or 80890 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 131096950019280 in words is "one hundred thirty-one trillion, ninety-six billion, nine hundred fifty million, nineteen thousand, two hundred eighty".