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131369 = 73383
BaseRepresentation
bin100000000100101001
320200012112
4200010221
513200434
62452105
71055000
oct400451
9220175
10131369
118a777
1264035
1347a44
1435c37
1528dce
hex20129

131369 has 8 divisors (see below), whose sum is σ = 153600. Its totient is φ = 112308.

The previous prime is 131363. The next prime is 131371. The reversal of 131369 is 963131.

It is not a de Polignac number, because 131369 - 28 = 131113 is a prime.

It is a super-2 number, since 2×1313692 = 34515628322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (19200).

2131369 is an apocalyptic number.

It is an amenable number.

131369 is a deficient number, since it is larger than the sum of its proper divisors (22231).

131369 is an frugal number, since it uses more digits than its factorization.

131369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its digits is 486, while the sum is 23.

The square root of 131369 is about 362.4486170480. The cubic root of 131369 is about 50.8351720796.

The spelling of 131369 in words is "one hundred thirty-one thousand, three hundred sixty-nine".

Divisors: 1 7 49 343 383 2681 18767 131369