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241213312181 is a prime number
BaseRepresentation
bin1110000010100101101…
…1110000110010110101
3212001121120101212102002
43200221123300302311
512423001101442211
6302451210225045
723266330216052
oct3405133606265
9761546355362
10241213312181
1193330698686
123a8b9a25185
131999187722a
14b963886029
15641b72603b
hex38296f0cb5

241213312181 has 2 divisors, whose sum is σ = 241213312182. Its totient is φ = 241213312180.

The previous prime is 241213312133. The next prime is 241213312187. The reversal of 241213312181 is 181213312142.

241213312181 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., 125096616100 + 116116696081 = 353690^2 + 340759^2 .

It is a cyclic number.

It is not a de Polignac number, because 241213312181 - 26 = 241213312117 is a prime.

It is a super-2 number, since 2×2412133121812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241213312187) 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, 120606656090 + 120606656091.

It is an arithmetic number, because the mean of its divisors is an integer number (120606656091).

Almost surely, 2241213312181 is an apocalyptic number.

It is an amenable number.

241213312181 is a deficient number, since it is larger than the sum of its proper divisors (1).

241213312181 is an equidigital number, since it uses as much as digits as its factorization.

241213312181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 29.

The spelling of 241213312181 in words is "two hundred forty-one billion, two hundred thirteen million, three hundred twelve thousand, one hundred eighty-one".