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131124289 is a prime number
BaseRepresentation
bin1111101000011…
…00110001000001
3100010201210201011
413310030301001
5232031434124
621002240521
73151352362
oct764146101
9303653634
10131124289
116801a68a
1237ab6141
132122044a
14135b3b69
15b7a1994
hex7d0cc41

131124289 has 2 divisors, whose sum is σ = 131124290. Its totient is φ = 131124288.

The previous prime is 131124271. The next prime is 131124307. The reversal of 131124289 is 982421131.

It is a balanced prime because it is at equal distance from previous prime (131124271) and next prime (131124307).

It can be written as a sum of positive squares in only one way, i.e., 73667889 + 57456400 = 8583^2 + 7580^2 .

It is a cyclic number.

It is not a de Polignac number, because 131124289 - 217 = 130993217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131124289.

It is not a weakly prime, because it can be changed into another prime (131124229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65562144 + 65562145.

It is an arithmetic number, because the mean of its divisors is an integer number (65562145).

Almost surely, 2131124289 is an apocalyptic number.

It is an amenable number.

131124289 is a deficient number, since it is larger than the sum of its proper divisors (1).

131124289 is an equidigital number, since it uses as much as digits as its factorization.

131124289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3456, while the sum is 31.

The square root of 131124289 is about 11450.9514451857. The cubic root of 131124289 is about 508.0358761630.

It can be divided in two parts, 1311 and 24289, that added together give a square (25600 = 1602).

The spelling of 131124289 in words is "one hundred thirty-one million, one hundred twenty-four thousand, two hundred eighty-nine".