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131132817 = 334856771
BaseRepresentation
bin1111101000011…
…10110110010001
3100010202020102000
413310032312101
5232032222232
621002344213
73151416264
oct764166621
9303666360
10131132817
1168026032
1237abb069
13212242aa
14135b6cdb
15b7a427c
hex7d0ed91

131132817 has 8 divisors (see below), whose sum is σ = 194270880. Its totient is φ = 87421860.

The previous prime is 131132803. The next prime is 131132831. The reversal of 131132817 is 718231131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131132803) and next prime (131132831).

It is not a de Polignac number, because 131132817 - 26 = 131132753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4856771 = 131132817 / (1 + 3 + 1 + 1 + 3 + 2 + 8 + 1 + 7).

It is not an unprimeable number, because it can be changed into a prime (131137817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428359 + ... + 2428412.

It is an arithmetic number, because the mean of its divisors is an integer number (24283860).

Almost surely, 2131132817 is an apocalyptic number.

It is an amenable number.

131132817 is a deficient number, since it is larger than the sum of its proper divisors (63138063).

131132817 is an equidigital number, since it uses as much as digits as its factorization.

131132817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856780 (or 4856774 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 131132817 is about 11451.3238099357. The cubic root of 131132817 is about 508.0468897239.

Adding to 131132817 its reverse (718231131), we get a palindrome (849363948).

The spelling of 131132817 in words is "one hundred thirty-one million, one hundred thirty-two thousand, eight hundred seventeen".

Divisors: 1 3 9 27 4856771 14570313 43710939 131132817