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131773361 = 2938911681
BaseRepresentation
bin1111101101010…
…11001110110001
3100011221210001212
413312223032301
5232213221421
621024205505
73160024616
oct766531661
9304853055
10131773361
1168423305
1238169895
13213b9a05
141370250d
15b87de5b
hex7dab3b1

131773361 has 8 divisors (see below), whose sum is σ = 136679400. Its totient is φ = 126891520.

The previous prime is 131773351. The next prime is 131773363. The reversal of 131773361 is 163377131.

It can be written as a sum of positive squares in 4 ways, for example, as 9339136 + 122434225 = 3056^2 + 11065^2 .

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 131773361 - 26 = 131773297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131773363) 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, 5441 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (17084925).

Almost surely, 2131773361 is an apocalyptic number.

It is an amenable number.

131773361 is a deficient number, since it is larger than the sum of its proper divisors (4906039).

131773361 is a wasteful number, since it uses less digits than its factorization.

131773361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099.

The product of its digits is 7938, while the sum is 32.

The square root of 131773361 is about 11479.2578592869. The cubic root of 131773361 is about 508.8727647361.

The spelling of 131773361 in words is "one hundred thirty-one million, seven hundred seventy-three thousand, three hundred sixty-one".

Divisors: 1 29 389 11281 11681 338749 4543909 131773361