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211324601681 is a prime number
BaseRepresentation
bin1100010011001111101…
…1011000010101010001
3202012110120112001112022
43010303323120111101
511430243044223211
6241025311341225
721160551322304
oct3046373302521
9665416461468
10211324601681
1181693257046
1234b58221815
1316c0a57940b
14a32a12ab3b
15576c781bdb
hex3133ed8551

211324601681 has 2 divisors, whose sum is σ = 211324601682. Its totient is φ = 211324601680.

The previous prime is 211324601629. The next prime is 211324601753. The reversal of 211324601681 is 186106423112.

211324601681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205082179600 + 6242422081 = 452860^2 + 79009^2 .

It is a cyclic number.

It is not a de Polignac number, because 211324601681 - 230 = 210250859857 is a prime.

It is a super-2 number, since 2×2113246016812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211324601581) 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, 105662300840 + 105662300841.

It is an arithmetic number, because the mean of its divisors is an integer number (105662300841).

Almost surely, 2211324601681 is an apocalyptic number.

It is an amenable number.

211324601681 is a deficient number, since it is larger than the sum of its proper divisors (1).

211324601681 is an equidigital number, since it uses as much as digits as its factorization.

211324601681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 211324601681 in words is "two hundred eleven billion, three hundred twenty-four million, six hundred one thousand, six hundred eighty-one".