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131506189 is a prime number
BaseRepresentation
bin1111101011010…
…10000000001101
3100011110012120121
413311222000031
5232131144224
621014344541
73154532653
oct765520015
9304405517
10131506189
1168260601
123805b151
1321325219
1413672dd3
15b829be4
hex7d6a00d

131506189 has 2 divisors, whose sum is σ = 131506190. Its totient is φ = 131506188.

The previous prime is 131506187. The next prime is 131506223. The reversal of 131506189 is 981605131.

It is an a-pointer prime, because the next prime (131506223) can be obtained adding 131506189 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123943689 + 7562500 = 11133^2 + 2750^2 .

It is a cyclic number.

It is not a de Polignac number, because 131506189 - 21 = 131506187 is a prime.

Together with 131506187, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131506181) 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, 65753094 + 65753095.

It is an arithmetic number, because the mean of its divisors is an integer number (65753095).

Almost surely, 2131506189 is an apocalyptic number.

It is an amenable number.

131506189 is a deficient number, since it is larger than the sum of its proper divisors (1).

131506189 is an equidigital number, since it uses as much as digits as its factorization.

131506189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 131506189 is about 11467.6147912284. The cubic root of 131506189 is about 508.5286169220.

The spelling of 131506189 in words is "one hundred thirty-one million, five hundred six thousand, one hundred eighty-nine".