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131765881 = 1316696073
BaseRepresentation
bin1111101101010…
…01011001111001
3100011221101210211
413312221121321
5232213002011
621024111121
73156664042
oct766513171
9304841724
10131765881
1168418725
12381654a1
13213b64a0
14136dd8c9
15b87bb21
hex7da9679

131765881 has 8 divisors (see below), whose sum is σ = 142010120. Its totient is φ = 121537152.

The previous prime is 131765869. The next prime is 131765947. The reversal of 131765881 is 188567131.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 106605625 = 5016^2 + 10325^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131765881 - 215 = 131733113 is a prime.

It is a super-2 number, since 2×1317658812 = 34724494791412322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131765831) 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 7 ways as a sum of consecutive naturals, for example, 18661 + ... + 24733.

It is an arithmetic number, because the mean of its divisors is an integer number (17751265).

Almost surely, 2131765881 is an apocalyptic number.

It is an amenable number.

131765881 is a deficient number, since it is larger than the sum of its proper divisors (10244239).

131765881 is a wasteful number, since it uses less digits than its factorization.

131765881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7755.

The product of its digits is 40320, while the sum is 40.

The square root of 131765881 is about 11478.9320496290. The cubic root of 131765881 is about 508.8631359809.

The spelling of 131765881 in words is "one hundred thirty-one million, seven hundred sixty-five thousand, eight hundred eighty-one".

Divisors: 1 13 1669 6073 21697 78949 10135837 131765881