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123666329 is a prime number
BaseRepresentation
bin1110101111011…
…11111110011001
322121200220022102
413113233332121
5223124310304
620134333145
73031101143
oct727577631
9277626272
10123666329
1163896386
12354ba1b5
131c80b957
14125d1c93
15accbd1e
hex75eff99

123666329 has 2 divisors, whose sum is σ = 123666330. Its totient is φ = 123666328.

The previous prime is 123666293. The next prime is 123666341. The reversal of 123666329 is 923666321.

Together with previous prime (123666293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98465929 + 25200400 = 9923^2 + 5020^2 .

It is a cyclic number.

It is not a de Polignac number, because 123666329 - 224 = 106889113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123666292 and 123666301.

It is not a weakly prime, because it can be changed into another prime (123666349) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61833164 + 61833165.

It is an arithmetic number, because the mean of its divisors is an integer number (61833165).

Almost surely, 2123666329 is an apocalyptic number.

It is an amenable number.

123666329 is a deficient number, since it is larger than the sum of its proper divisors (1).

123666329 is an equidigital number, since it uses as much as digits as its factorization.

123666329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 69984, while the sum is 38.

The square root of 123666329 is about 11120.5363629638. The cubic root of 123666329 is about 498.2154100555.

The spelling of 123666329 in words is "one hundred twenty-three million, six hundred sixty-six thousand, three hundred twenty-nine".