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211441330409 is a prime number
BaseRepresentation
bin1100010011101011100…
…0101010100011101001
3202012202201011111020112
43010322320222203221
511431012440033114
6241045041304105
721163466440301
oct3047270524351
9665681144215
10211441330409
1181743134071
1234b8b335035
1316c287c937a
14a33b834601
155777b3d13e
hex313ae2a8e9

211441330409 has 2 divisors, whose sum is σ = 211441330410. Its totient is φ = 211441330408.

The previous prime is 211441330403. The next prime is 211441330433. The reversal of 211441330409 is 904033144112.

211441330409 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., 204419728384 + 7021602025 = 452128^2 + 83795^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211441330409 is a prime.

It is not a weakly prime, because it can be changed into another prime (211441330403) 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, 105720665204 + 105720665205.

It is an arithmetic number, because the mean of its divisors is an integer number (105720665205).

Almost surely, 2211441330409 is an apocalyptic number.

It is an amenable number.

211441330409 is a deficient number, since it is larger than the sum of its proper divisors (1).

211441330409 is an equidigital number, since it uses as much as digits as its factorization.

211441330409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 211441330409 in words is "two hundred eleven billion, four hundred forty-one million, three hundred thirty thousand, four hundred nine".