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131145085026 = 232471151134681
BaseRepresentation
bin111101000100011011…
…0110011000001100010
3110112111201121120222100
41322020312303001202
54122041120210101
6140125222151230
712321616554444
oct1721066630142
9415451546870
10131145085026
1150688a8849a
1221500282516
13c4a01ac737
1464c15c2494
153628652e86
hex1e88db3062

131145085026 has 48 divisors (see below), whose sum is σ = 290447659008. Its totient is φ = 42747432000.

The previous prime is 131145085007. The next prime is 131145085031. The reversal of 131145085026 is 620580541131.

131145085026 is a `hidden beast` number, since 1 + 3 + 1 + 145 + 0 + 8 + 502 + 6 = 666.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 906406 + ... + 1041086.

It is an arithmetic number, because the mean of its divisors is an integer number (6050992896).

Almost surely, 2131145085026 is an apocalyptic number.

131145085026 is an abundant number, since it is smaller than the sum of its proper divisors (159302573982).

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

131145085026 is a wasteful number, since it uses less digits than its factorization.

131145085026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135887 (or 135884 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 131145085026 in words is "one hundred thirty-one billion, one hundred forty-five million, eighty-five thousand, twenty-six".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 1151 2302 3453 6906 10359 20718 54097 108194 134681 162291 269362 324582 404043 486873 808086 973746 1212129 2424258 6330007 12660014 18990021 37980042 56970063 113940126 155017831 310035662 465053493 930106986 1395160479 2790320958 7285838057 14571676114 21857514171 43715028342 65572542513 131145085026