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131003149 is a prime number
BaseRepresentation
bin1111100111011…
…11001100001101
3100010111122112111
413303233030031
5232014100044
620555504021
73150336244
oct763571415
9303448474
10131003149
1167a47672
1237a58011
13211aa274
141358195b
15b77ab34
hex7cef30d

131003149 has 2 divisors, whose sum is σ = 131003150. Its totient is φ = 131003148.

The previous prime is 131003113. The next prime is 131003209. The reversal of 131003149 is 941300131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127916100 + 3087049 = 11310^2 + 1757^2 .

It is an emirp because it is prime and its reverse (941300131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131003149 - 29 = 131002637 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131003749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65501574 + 65501575.

It is an arithmetic number, because the mean of its divisors is an integer number (65501575).

Almost surely, 2131003149 is an apocalyptic number.

It is an amenable number.

131003149 is a deficient number, since it is larger than the sum of its proper divisors (1).

131003149 is an equidigital number, since it uses as much as digits as its factorization.

131003149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 131003149 is about 11445.6607061366. The cubic root of 131003149 is about 507.8793772446.

The spelling of 131003149 in words is "one hundred thirty-one million, three thousand, one hundred forty-nine".