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131103361 is a prime number
BaseRepresentation
bin1111101000001…
…11101010000001
3100010200202000001
413310013222001
5232030301421
621002000001
73151234354
oct764075201
9303622001
10131103361
1168005994
1237aa6001
1321213a6c
14135aa29b
15b79a691
hex7d07a81

131103361 has 2 divisors, whose sum is σ = 131103362. Its totient is φ = 131103360.

The previous prime is 131103311. The next prime is 131103367. The reversal of 131103361 is 163301131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130667761 + 435600 = 11431^2 + 660^2 .

It is a cyclic number.

It is not a de Polignac number, because 131103361 - 213 = 131095169 is a prime.

It is not a weakly prime, because it can be changed into another prime (131103367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65551680 + 65551681.

It is an arithmetic number, because the mean of its divisors is an integer number (65551681).

Almost surely, 2131103361 is an apocalyptic number.

It is an amenable number.

131103361 is a deficient number, since it is larger than the sum of its proper divisors (1).

131103361 is an equidigital number, since it uses as much as digits as its factorization.

131103361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 131103361 is about 11450.0375981915. The cubic root of 131103361 is about 508.0088464886.

Adding to 131103361 its reverse (163301131), we get a palindrome (294404492).

It can be divided in two parts, 13110 and 3361, that added together give a triangular number (16471 = T181).

The spelling of 131103361 in words is "one hundred thirty-one million, one hundred three thousand, three hundred sixty-one".