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131288685 = 35115315013
BaseRepresentation
bin1111101001101…
…00111001101101
3100011001011012220
413310310321231
5232102214220
621005545553
73152635563
oct764647155
9304034186
10131288685
1168122150
1237b752b9
132127a218
1413617a33
15b7d5540
hex7d34e6d

131288685 has 32 divisors (see below), whose sum is σ = 233497728. Its totient is φ = 62449920.

The previous prime is 131288659. The next prime is 131288693. The reversal of 131288685 is 586882131.

It is not a de Polignac number, because 131288685 - 27 = 131288557 is a prime.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1239 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (7296804).

Almost surely, 2131288685 is an apocalyptic number.

131288685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131288685 is a deficient number, since it is larger than the sum of its proper divisors (102209043).

131288685 is a wasteful number, since it uses less digits than its factorization.

131288685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085.

The product of its digits is 92160, while the sum is 42.

The square root of 131288685 is about 11458.1274648173. The cubic root of 131288685 is about 508.2481027638.

The spelling of 131288685 in words is "one hundred thirty-one million, two hundred eighty-eight thousand, six hundred eighty-five".

Divisors: 1 3 5 11 15 33 53 55 159 165 265 583 795 1749 2915 8745 15013 45039 75065 165143 225195 495429 795689 825715 2387067 2477145 3978445 8752579 11935335 26257737 43762895 131288685