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131589323140 = 225111735184311
BaseRepresentation
bin111101010001101010…
…1011011100110000100
3110120122200112020002211
41322203111123212010
54123443331320030
6140241251513204
712335622535342
oct1724325334604
9416580466084
10131589323140
1150896819130
1221604bb8804
13c54123c922
1465245c0992
15365265412a
hex1ea355b984

131589323140 has 48 divisors (see below), whose sum is σ = 319192078464. Its totient is φ = 45035916800.

The previous prime is 131589323083. The next prime is 131589323197. The reversal of 131589323140 is 41323985131.

131589323140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131589323083) and next prime (131589323197).

It is a junction number, because it is equal to n+sod(n) for n = 131589323093 and 131589323102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17588416 + ... + 17595895.

It is an arithmetic number, because the mean of its divisors is an integer number (6649834968).

Almost surely, 2131589323140 is an apocalyptic number.

131589323140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131589323140 is an abundant number, since it is smaller than the sum of its proper divisors (187602755324).

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

131589323140 is a wasteful number, since it uses less digits than its factorization.

131589323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35184348 (or 35184346 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 131589323140 in words is "one hundred thirty-one billion, five hundred eighty-nine million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 35184311 70368622 140737244 175921555 351843110 387027421 598133287 703686220 774054842 1196266574 1548109684 1935137105 2392533148 2990666435 3870274210 5981332870 6579466157 7740548420 11962665740 13158932314 26317864628 32897330785 65794661570 131589323140