Search a number
-
+
12022001332157 is a prime number
BaseRepresentation
bin1010111011110001011100…
…0111100110111110111101
31120120021212221110120122102
42232330113013212332331
53033432024320112112
641322455310554445
72350363254160025
oct256742707467675
946507787416572
1012022001332157
113915558380343
121421b3bb08a25
136928928ba01b
142d7c219c8a85
1515cabe713bc2
hexaef171e6fbd

12022001332157 has 2 divisors, whose sum is σ = 12022001332158. Its totient is φ = 12022001332156.

The previous prime is 12022001332087. The next prime is 12022001332169. The reversal of 12022001332157 is 75123310022021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8899327114276 + 3122674217881 = 2983174^2 + 1767109^2 .

It is an emirp because it is prime and its reverse (75123310022021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12022001332157 - 216 = 12022001266621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12022001332657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6011000666078 + 6011000666079.

It is an arithmetic number, because the mean of its divisors is an integer number (6011000666079).

Almost surely, 212022001332157 is an apocalyptic number.

It is an amenable number.

12022001332157 is a deficient number, since it is larger than the sum of its proper divisors (1).

12022001332157 is an equidigital number, since it uses as much as digits as its factorization.

12022001332157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 12022001332157 its reverse (75123310022021), we get a palindrome (87145311354178).

The spelling of 12022001332157 in words is "twelve trillion, twenty-two billion, one million, three hundred thirty-two thousand, one hundred fifty-seven".