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131116121 = 172631719
BaseRepresentation
bin1111101000010…
…10110001011001
3100010201101111122
413310022301121
5232031203441
621002135025
73151316513
oct764126131
9303641448
10131116121
1168014534
1237ab1475
1321219806
14135b0bb3
15b79e34b
hex7d0ac59

131116121 has 12 divisors (see below), whose sum is σ = 139697280. Its totient is φ = 123036480.

The previous prime is 131116109. The next prime is 131116127. The reversal of 131116121 is 121611131.

It is not a de Polignac number, because 131116121 - 210 = 131115097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131116121.

It is not an unprimeable number, because it can be changed into a prime (131116127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182000 + ... + 182718.

It is an arithmetic number, because the mean of its divisors is an integer number (11641440).

Almost surely, 2131116121 is an apocalyptic number.

It is an amenable number.

131116121 is a deficient number, since it is larger than the sum of its proper divisors (8581159).

131116121 is an equidigital number, since it uses as much as digits as its factorization.

131116121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its digits is 36, while the sum is 17.

The square root of 131116121 is about 11450.5947880449. The cubic root of 131116121 is about 508.0253270796.

Adding to 131116121 its reverse (121611131), we get a palindrome (252727252).

The spelling of 131116121 in words is "one hundred thirty-one million, one hundred sixteen thousand, one hundred twenty-one".

Divisors: 1 17 289 631 719 10727 12223 182359 207791 453689 7712713 131116121