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123386101 is a prime number
BaseRepresentation
bin1110101101010…
…11100011110101
322121011122220121
413112223203311
5223041323401
620124331541
73025523146
oct726534365
9277148817
10123386101
1163714893
12353a3bb1
131c741237
141255bacd
15ac73ca1
hex75ab8f5

123386101 has 2 divisors, whose sum is σ = 123386102. Its totient is φ = 123386100.

The previous prime is 123386047. The next prime is 123386111. The reversal of 123386101 is 101683321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74805201 + 48580900 = 8649^2 + 6970^2 .

It is a cyclic number.

It is not a de Polignac number, because 123386101 - 27 = 123385973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123386111) 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, 61693050 + 61693051.

It is an arithmetic number, because the mean of its divisors is an integer number (61693051).

Almost surely, 2123386101 is an apocalyptic number.

It is an amenable number.

123386101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123386101 is an equidigital number, since it uses as much as digits as its factorization.

123386101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 123386101 is about 11107.9296450779. The cubic root of 123386101 is about 497.8388066122.

The spelling of 123386101 in words is "one hundred twenty-three million, three hundred eighty-six thousand, one hundred one".