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123206131649 is a prime number
BaseRepresentation
bin111001010111110101…
…0000101111111000001
3102210000110001222022002
41302233222011333001
54004311232203044
6132333342553345
711621106560666
oct1625752057701
9383013058262
10123206131649
11482847162a7
121ba65598855
13b8064c1aa3
145d6b089a6d
1533116b574e
hex1cafa85fc1

123206131649 has 2 divisors, whose sum is σ = 123206131650. Its totient is φ = 123206131648.

The previous prime is 123206131547. The next prime is 123206131661. The reversal of 123206131649 is 946131602321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93983938624 + 29222193025 = 306568^2 + 170945^2 .

It is an emirp because it is prime and its reverse (946131602321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123206131649 - 28 = 123206131393 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (123206131049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61603065824 + 61603065825.

It is an arithmetic number, because the mean of its divisors is an integer number (61603065825).

Almost surely, 2123206131649 is an apocalyptic number.

It is an amenable number.

123206131649 is a deficient number, since it is larger than the sum of its proper divisors (1).

123206131649 is an equidigital number, since it uses as much as digits as its factorization.

123206131649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 123206131649 in words is "one hundred twenty-three billion, two hundred six million, one hundred thirty-one thousand, six hundred forty-nine".