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123585493 is a prime number
BaseRepresentation
bin1110101110111…
…00001111010101
322121112210102111
413113130033111
5223114213433
620132511021
73030313363
oct727341725
9277483374
10123585493
1163840679
123547b471
131c7b0c15
14125b0633
15acb2dcd
hex75dc3d5

123585493 has 2 divisors, whose sum is σ = 123585494. Its totient is φ = 123585492.

The previous prime is 123585487. The next prime is 123585547. The reversal of 123585493 is 394585321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93741124 + 29844369 = 9682^2 + 5463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123585493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123580493) 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, 61792746 + 61792747.

It is an arithmetic number, because the mean of its divisors is an integer number (61792747).

Almost surely, 2123585493 is an apocalyptic number.

It is an amenable number.

123585493 is a deficient number, since it is larger than the sum of its proper divisors (1).

123585493 is an equidigital number, since it uses as much as digits as its factorization.

123585493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129600, while the sum is 40.

The square root of 123585493 is about 11116.9012319081. The cubic root of 123585493 is about 498.1068315401.

The spelling of 123585493 in words is "one hundred twenty-three million, five hundred eighty-five thousand, four hundred ninety-three".