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218180571041 is a prime number
BaseRepresentation
bin1100101100110010010…
…0110100111110100001
3202212011101020101102102
43023030210310332201
512033313211233131
6244121502500145
721522501153206
oct3131444647641
9685141211372
10218180571041
1184591276324
1236350294655
1317760a93514
14a7ba8b3cad
155a1e5ea1cb
hex32cc934fa1

218180571041 has 2 divisors, whose sum is σ = 218180571042. Its totient is φ = 218180571040.

The previous prime is 218180571001. The next prime is 218180571071. The reversal of 218180571041 is 140175081812.

It is a happy number.

218180571041 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., 140116211041 + 78064360000 = 374321^2 + 279400^2 .

It is a cyclic number.

It is not a de Polignac number, because 218180571041 - 26 = 218180570977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218180570986 and 218180571004.

It is not a weakly prime, because it can be changed into another prime (218180571001) 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, 109090285520 + 109090285521.

It is an arithmetic number, because the mean of its divisors is an integer number (109090285521).

Almost surely, 2218180571041 is an apocalyptic number.

It is an amenable number.

218180571041 is a deficient number, since it is larger than the sum of its proper divisors (1).

218180571041 is an equidigital number, since it uses as much as digits as its factorization.

218180571041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17920, while the sum is 38.

The spelling of 218180571041 in words is "two hundred eighteen billion, one hundred eighty million, five hundred seventy-one thousand, forty-one".