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131117121 = 3261238829
BaseRepresentation
bin1111101000010…
…11000001000001
3100010201102212200
413310023001001
5232031221441
621002143413
73151322442
oct764130101
9303642780
10131117121
1168015263
1237ab1b69
132121a0c5
14135b12c9
15b79e7b6
hex7d0b041

131117121 has 12 divisors (see below), whose sum is σ = 192496980. Its totient is φ = 85978080.

The previous prime is 131117113. The next prime is 131117153. The reversal of 131117121 is 121711131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24800400 + 106316721 = 4980^2 + 10311^2 .

It is not a de Polignac number, because 131117121 - 23 = 131117113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131117094 and 131117103.

It is not an unprimeable number, because it can be changed into a prime (131117521) 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 11 ways as a sum of consecutive naturals, for example, 118866 + ... + 119963.

It is an arithmetic number, because the mean of its divisors is an integer number (16041415).

Almost surely, 2131117121 is an apocalyptic number.

It is an amenable number.

131117121 is a deficient number, since it is larger than the sum of its proper divisors (61379859).

131117121 is a wasteful number, since it uses less digits than its factorization.

131117121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238896 (or 238893 counting only the distinct ones).

The product of its digits is 42, while the sum is 18.

The square root of 131117121 is about 11450.6384538156. The cubic root of 131117121 is about 508.0266186168.

Adding to 131117121 its reverse (121711131), we get a palindrome (252828252).

The spelling of 131117121 in words is "one hundred thirty-one million, one hundred seventeen thousand, one hundred twenty-one".

Divisors: 1 3 9 61 183 549 238829 716487 2149461 14568569 43705707 131117121