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211323328241 is a prime number
BaseRepresentation
bin1100010011001111011…
…0100001011011110001
3202012110111010100200212
43010303312201123301
511430242233000431
6241025224153505
721160534436534
oct3046366413361
9665414110625
10211323328241
1181692567313
1234b57908895
1316c0a2218bc
14a329cb8a1b
15576c5ce72b
hex3133da16f1

211323328241 has 2 divisors, whose sum is σ = 211323328242. Its totient is φ = 211323328240.

The previous prime is 211323328163. The next prime is 211323328259. The reversal of 211323328241 is 142823323112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165311362225 + 46011966016 = 406585^2 + 214504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211323328241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211323328198 and 211323328207.

It is not a weakly prime, because it can be changed into another prime (211323322241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105661664120 + 105661664121.

It is an arithmetic number, because the mean of its divisors is an integer number (105661664121).

Almost surely, 2211323328241 is an apocalyptic number.

It is an amenable number.

211323328241 is a deficient number, since it is larger than the sum of its proper divisors (1).

211323328241 is an equidigital number, since it uses as much as digits as its factorization.

211323328241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13824, while the sum is 32.

The spelling of 211323328241 in words is "two hundred eleven billion, three hundred twenty-three million, three hundred twenty-eight thousand, two hundred forty-one".