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210120120181 is a prime number
BaseRepresentation
bin1100001110110000100…
…0101001011101110101
3202002100122002001112101
43003230020221131311
511420311222321211
6240310003222101
721115654360366
oct3035410513565
9662318061471
10210120120181
118112536a294
1234880977931
1316a77b7617a
14a254191b6d
1556ebb5d5c1
hex30ec229775

210120120181 has 2 divisors, whose sum is σ = 210120120182. Its totient is φ = 210120120180.

The previous prime is 210120120169. The next prime is 210120120191. The reversal of 210120120181 is 181021021012.

210120120181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204425153956 + 5694966225 = 452134^2 + 75465^2 .

It is a cyclic number.

It is not a de Polignac number, because 210120120181 - 217 = 210119989109 is a prime.

It is a super-2 number, since 2×2101201201812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210120120191) 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, 105060060090 + 105060060091.

It is an arithmetic number, because the mean of its divisors is an integer number (105060060091).

Almost surely, 2210120120181 is an apocalyptic number.

It is an amenable number.

210120120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

210120120181 is an equidigital number, since it uses as much as digits as its factorization.

210120120181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 210120120181 its reverse (181021021012), we get a palindrome (391141141193).

The spelling of 210120120181 in words is "two hundred ten billion, one hundred twenty million, one hundred twenty thousand, one hundred eighty-one".