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211241142181 is a prime number
BaseRepresentation
bin1100010010111011110…
…1000000011110100101
3202012020202110212121201
43010232331000132211
511430110213022211
6241013130442501
721155516040166
oct3045675003645
9665222425551
10211241142181
1181650132753
1234b34293431
1316bc61a74b4
14a31d00376d
1557652980c1
hex312ef407a5

211241142181 has 2 divisors, whose sum is σ = 211241142182. Its totient is φ = 211241142180.

The previous prime is 211241142179. The next prime is 211241142199. The reversal of 211241142181 is 181241142112.

211241142181 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., 107824229956 + 103416912225 = 328366^2 + 321585^2 .

It is a cyclic number.

It is not a de Polignac number, because 211241142181 - 21 = 211241142179 is a prime.

It is a super-2 number, since 2×2112411421812 (a number of 23 digits) contains 22 as substring.

Together with 211241142179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211241142481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105620571090 + 105620571091.

It is an arithmetic number, because the mean of its divisors is an integer number (105620571091).

Almost surely, 2211241142181 is an apocalyptic number.

It is an amenable number.

211241142181 is a deficient number, since it is larger than the sum of its proper divisors (1).

211241142181 is an equidigital number, since it uses as much as digits as its factorization.

211241142181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1024, while the sum is 28.

Adding to 211241142181 its reverse (181241142112), we get a palindrome (392482284293).

The spelling of 211241142181 in words is "two hundred eleven billion, two hundred forty-one million, one hundred forty-two thousand, one hundred eighty-one".