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131666132 = 221319712853
BaseRepresentation
bin1111101100100…
…01000011010100
3100011202022222102
413312101003110
5232201304012
621022021232
73156100163
oct766210324
9304668872
10131666132
116835a794
1238117818
132137cc70
14136b53da
15b85c2c2
hex7d910d4

131666132 has 24 divisors (see below), whose sum is σ = 249419016. Its totient is φ = 60455808.

The previous prime is 131666123. The next prime is 131666159. The reversal of 131666132 is 231666131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18541636 + 113124496 = 4306^2 + 10636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131666095 and 131666104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3818 + ... + 16670.

It is an arithmetic number, because the mean of its divisors is an integer number (10392459).

Almost surely, 2131666132 is an apocalyptic number.

It is an amenable number.

131666132 is a deficient number, since it is larger than the sum of its proper divisors (117752884).

131666132 is a wasteful number, since it uses less digits than its factorization.

131666132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13067 (or 13065 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 131666132 is about 11474.5863542003. The cubic root of 131666132 is about 508.7346975659.

Subtracting 131666132 from its reverse (231666131), we obtain a palindrome (99999999).

It can be divided in two parts, 13 and 1666132, that multiplied together give a square (21659716 = 46542).

The spelling of 131666132 in words is "one hundred thirty-one million, six hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 52 197 394 788 2561 5122 10244 12853 25706 51412 167089 334178 668356 2532041 5064082 10128164 32916533 65833066 131666132