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138124465289 is a prime number
BaseRepresentation
bin1000000010100011011…
…1000001010010001001
3111012112010112211210122
42000220313001102021
54230334330342124
6143241542353025
712656565404036
oct2005067012211
9435463484718
10138124465289
115363a729158
122292972b775
1310043146145
1469844d238d
1538d624775e
hex2028dc1489

138124465289 has 2 divisors, whose sum is σ = 138124465290. Its totient is φ = 138124465288.

The previous prime is 138124465279. The next prime is 138124465291. The reversal of 138124465289 is 982564421831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137934246025 + 190219264 = 371395^2 + 13792^2 .

It is a cyclic number.

It is not a de Polignac number, because 138124465289 - 212 = 138124461193 is a prime.

It is a super-2 number, since 2×1381244652892 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 138124465291, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138124465289.

It is not a weakly prime, because it can be changed into another prime (138124465249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69062232644 + 69062232645.

It is an arithmetic number, because the mean of its divisors is an integer number (69062232645).

Almost surely, 2138124465289 is an apocalyptic number.

It is an amenable number.

138124465289 is a deficient number, since it is larger than the sum of its proper divisors (1).

138124465289 is an equidigital number, since it uses as much as digits as its factorization.

138124465289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3317760, while the sum is 53.

The spelling of 138124465289 in words is "one hundred thirty-eight billion, one hundred twenty-four million, four hundred sixty-five thousand, two hundred eighty-nine".