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211301317321 is a prime number
BaseRepresentation
bin1100010011001010001…
…0100011101011001001
3202012101221201002101121
43010302202203223021
511430221114123241
6241023120315241
721160146364003
oct3046242435311
9665357632347
10211301317321
11816810a3176
1234b50472b21
1316c057b60a3
14a326dc9373
15576a6d2ad1
hex31328a3ac9

211301317321 has 2 divisors, whose sum is σ = 211301317322. Its totient is φ = 211301317320.

The previous prime is 211301317319. The next prime is 211301317343. The reversal of 211301317321 is 123713103112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209635779600 + 1665537721 = 457860^2 + 40811^2 .

It is a cyclic number.

It is not a de Polignac number, because 211301317321 - 21 = 211301317319 is a prime.

Together with 211301317319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211301317361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105650658660 + 105650658661.

It is an arithmetic number, because the mean of its divisors is an integer number (105650658661).

Almost surely, 2211301317321 is an apocalyptic number.

It is an amenable number.

211301317321 is a deficient number, since it is larger than the sum of its proper divisors (1).

211301317321 is an equidigital number, since it uses as much as digits as its factorization.

211301317321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The spelling of 211301317321 in words is "two hundred eleven billion, three hundred one million, three hundred seventeen thousand, three hundred twenty-one".