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138224086193 is a prime number
BaseRepresentation
bin1000000010111011001…
…1000010110010110001
3111012210002000002222202
42000232303002302301
54231040331224233
6143255501512545
712662215230014
oct2005663026261
9435702002882
10138224086193
1153690990886
1222956b72755
131005a98621b
14699382537b
1538ded74be8
hex202ecc2cb1

138224086193 has 2 divisors, whose sum is σ = 138224086194. Its totient is φ = 138224086192.

The previous prime is 138224086151. The next prime is 138224086207. The reversal of 138224086193 is 391680422831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75439763569 + 62784322624 = 274663^2 + 250568^2 .

It is an emirp because it is prime and its reverse (391680422831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138224086193 - 218 = 138223824049 is a prime.

It is not a weakly prime, because it can be changed into another prime (138224086103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69112043096 + 69112043097.

It is an arithmetic number, because the mean of its divisors is an integer number (69112043097).

Almost surely, 2138224086193 is an apocalyptic number.

It is an amenable number.

138224086193 is a deficient number, since it is larger than the sum of its proper divisors (1).

138224086193 is an equidigital number, since it uses as much as digits as its factorization.

138224086193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 138224086193 in words is "one hundred thirty-eight billion, two hundred twenty-four million, eighty-six thousand, one hundred ninety-three".