Search a number
-
+
212211111000281 is a prime number
BaseRepresentation
bin110000010000000100111111…
…111000110111100011011001
31000211101011222012022010212012
4300100010333320313203121
5210303331323404002111
62031200234420555305
762461514105246051
oct6020047770674331
91024334865263765
10212211111000281
1161687254911308
121b973b27852b35
139154563bba9c3
143a5910320a561
151980170aec48b
hexc1013fe378d9

212211111000281 has 2 divisors, whose sum is σ = 212211111000282. Its totient is φ = 212211111000280.

The previous prime is 212211111000277. The next prime is 212211111000347. The reversal of 212211111000281 is 182000111112212.

212211111000281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121839850295881 + 90371260704400 = 11038109^2 + 9506380^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211111000281 - 22 = 212211111000277 is a prime.

It is a super-2 number, since 2×2122111110002812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212211111000481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105555500140 + 106105555500141.

It is an arithmetic number, because the mean of its divisors is an integer number (106105555500141).

Almost surely, 2212211111000281 is an apocalyptic number.

It is an amenable number.

212211111000281 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211111000281 is an equidigital number, since it uses as much as digits as its factorization.

212211111000281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 212211111000281 its reverse (182000111112212), we get a palindrome (394211222112493).

The spelling of 212211111000281 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred eleven million, two hundred eighty-one", and thus it is an aban number.