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131252727 = 33743107257
BaseRepresentation
bin1111101001011…
…00000111110111
3100010222022220010
413310230013313
5232100041402
621005111303
73152426004
oct764540767
9303868803
10131252727
11680a8131
1237b58533
1321266a48
14136088ab
15b7c9a6c
hex7d2c1f7

131252727 has 32 divisors (see below), whose sum is σ = 186354432. Its totient is φ = 82059264.

The previous prime is 131252711. The next prime is 131252747. The reversal of 131252727 is 727252131.

It is not a de Polignac number, because 131252727 - 24 = 131252711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131252694 and 131252703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131252747) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 510583 + ... + 510839.

It is an arithmetic number, because the mean of its divisors is an integer number (5823576).

Almost surely, 2131252727 is an apocalyptic number.

131252727 is a deficient number, since it is larger than the sum of its proper divisors (55101705).

131252727 is a wasteful number, since it uses less digits than its factorization.

131252727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its digits is 5880, while the sum is 30.

The square root of 131252727 is about 11456.5582528087. The cubic root of 131252727 is about 508.2016980184.

The spelling of 131252727 in words is "one hundred thirty-one million, two hundred fifty-two thousand, seven hundred twenty-seven".

Divisors: 1 3 37 43 107 111 129 257 321 771 1591 3959 4601 4773 9509 11051 11877 13803 27499 28527 33153 82497 170237 408887 510711 1017463 1182457 1226661 3052389 3547371 43750909 131252727