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211261345289 is a prime number
BaseRepresentation
bin1100010011000000101…
…0000100111000001001
3202012022011111022001222
43010300022010320021
511430130401022124
6241015131451425
721156152543321
oct3046012047011
9665264438058
10211261345289
1181660581635
1234b3abb6b75
1316bca42c1b7
14a321982281
155766e3925e
hex3130284e09

211261345289 has 2 divisors, whose sum is σ = 211261345290. Its totient is φ = 211261345288.

The previous prime is 211261345259. The next prime is 211261345301. The reversal of 211261345289 is 982543162112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136367718400 + 74893626889 = 369280^2 + 273667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211261345289 is a prime.

It is not a weakly prime, because it can be changed into another prime (211261345259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105630672644 + 105630672645.

It is an arithmetic number, because the mean of its divisors is an integer number (105630672645).

Almost surely, 2211261345289 is an apocalyptic number.

It is an amenable number.

211261345289 is a deficient number, since it is larger than the sum of its proper divisors (1).

211261345289 is an equidigital number, since it uses as much as digits as its factorization.

211261345289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 207360, while the sum is 44.

The spelling of 211261345289 in words is "two hundred eleven billion, two hundred sixty-one million, three hundred forty-five thousand, two hundred eighty-nine".