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211311012071 is a prime number
BaseRepresentation
bin1100010011001100011…
…1100010100011100111
3202012102121221122002102
43010303013202203213
511430231104341241
6241024104202315
721160324652405
oct3046307424347
9665377848072
10211311012071
1181686614a65
1234b5376939b
1316c077cba23
14a3283d0475
15576b49a39b
hex31331e28e7

211311012071 has 2 divisors, whose sum is σ = 211311012072. Its totient is φ = 211311012070.

The previous prime is 211311012001. The next prime is 211311012079. The reversal of 211311012071 is 170210113112.

211311012071 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211311012071 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211311012079) 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, 105655506035 + 105655506036.

It is an arithmetic number, because the mean of its divisors is an integer number (105655506036).

Almost surely, 2211311012071 is an apocalyptic number.

211311012071 is a deficient number, since it is larger than the sum of its proper divisors (1).

211311012071 is an equidigital number, since it uses as much as digits as its factorization.

211311012071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 211311012071 its reverse (170210113112), we get a palindrome (381521125183).

The spelling of 211311012071 in words is "two hundred eleven billion, three hundred eleven million, twelve thousand, seventy-one".