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131336385 = 3553165203
BaseRepresentation
bin1111101010000…
…00100011000001
3100011010120122120
413311000203001
5232110231020
621010554453
73153224625
oct765004301
9304116576
10131336385
1168154a74
1237b98a29
1321295b4b
141362b185
15b7e4740
hex7d408c1

131336385 has 16 divisors (see below), whose sum is σ = 214104384. Its totient is φ = 68724032.

The previous prime is 131336383. The next prime is 131336431. The reversal of 131336385 is 583633131.

It is a cyclic number.

It is not a de Polignac number, because 131336385 - 21 = 131336383 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (131336383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81807 + ... + 83396.

It is an arithmetic number, because the mean of its divisors is an integer number (13381524).

Almost surely, 2131336385 is an apocalyptic number.

131336385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131336385 is a deficient number, since it is larger than the sum of its proper divisors (82767999).

131336385 is a wasteful number, since it uses less digits than its factorization.

131336385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165264.

The product of its digits is 19440, while the sum is 33.

The square root of 131336385 is about 11460.2087677319. The cubic root of 131336385 is about 508.3096477960.

The spelling of 131336385 in words is "one hundred thirty-one million, three hundred thirty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 15 53 159 265 795 165203 495609 826015 2478045 8755759 26267277 43778795 131336385