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131433165 = 3351951241
BaseRepresentation
bin1111101010110…
…00001011001101
3100011022111102000
413311120023031
5232121330130
621013022513
73154110033
oct765301315
9304274360
10131433165
1168210756
1238024a39
13212cac06
1413654553
15b813260
hex7d582cd

131433165 has 32 divisors (see below), whose sum is σ = 245961600. Its totient is φ = 66407040.

The previous prime is 131433143. The next prime is 131433173. The reversal of 131433165 is 561334131.

It is not a de Polignac number, because 131433165 - 28 = 131432909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23056 + ... + 28185.

It is an arithmetic number, because the mean of its divisors is an integer number (7686300).

Almost surely, 2131433165 is an apocalyptic number.

131433165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131433165 is a deficient number, since it is larger than the sum of its proper divisors (114528435).

131433165 is a wasteful number, since it uses less digits than its factorization.

131433165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51274 (or 51268 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 131433165 is about 11464.4304263230. The cubic root of 131433165 is about 508.4344726345.

Adding to 131433165 its reverse (561334131), we get a palindrome (692767296).

The spelling of 131433165 in words is "one hundred thirty-one million, four hundred thirty-three thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 51241 153723 256205 461169 768615 973579 1383507 2305845 2920737 4867895 6917535 8762211 14603685 26286633 43811055 131433165