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131505366 = 2383347761
BaseRepresentation
bin1111101011010…
…01110011010110
3100011110011110010
413311221303112
5232131132431
621014341050
73154530366
oct765516326
9304404403
10131505366
116825aa23
123805a786
1321324a35
14136729a6
15b829846
hex7d69cd6

131505366 has 32 divisors (see below), whose sum is σ = 267297408. Its totient is φ = 43125440.

The previous prime is 131505347. The next prime is 131505371. The reversal of 131505366 is 663505131.

131505366 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×1315053662 = 34587322573587912, which contains 22 as substring.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 172426 + ... + 173186.

It is an arithmetic number, because the mean of its divisors is an integer number (8353044).

Almost surely, 2131505366 is an apocalyptic number.

131505366 is an abundant number, since it is smaller than the sum of its proper divisors (135792042).

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

131505366 is a wasteful number, since it uses less digits than its factorization.

131505366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 131505366 is about 11467.5789075114. The cubic root of 131505366 is about 508.5275560849.

The spelling of 131505366 in words is "one hundred thirty-one million, five hundred five thousand, three hundred sixty-six".

Divisors: 1 2 3 6 83 166 249 347 498 694 761 1041 1522 2082 2283 4566 28801 57602 63163 86403 126326 172806 189489 264067 378978 528134 792201 1584402 21917561 43835122 65752683 131505366