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291211112209 is a prime number
BaseRepresentation
bin1000011110011011000…
…10001110111100010001
31000211200000002021020111
410033031202032330101
514232400021042314
6341440332441321
730016324416643
oct4171542167421
91024600067214
10291211112209
11102558098876
1248532019241
13215cc0267a4
1410147ba2893
157895cd3ec4
hex43cd88ef11

291211112209 has 2 divisors, whose sum is σ = 291211112210. Its totient is φ = 291211112208.

The previous prime is 291211112189. The next prime is 291211112249. The reversal of 291211112209 is 902211112192.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289589278225 + 1621833984 = 538135^2 + 40272^2 .

It is a cyclic number.

It is not a de Polignac number, because 291211112209 - 221 = 291209015057 is a prime.

It is not a weakly prime, because it can be changed into another prime (291211112249) 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, 145605556104 + 145605556105.

It is an arithmetic number, because the mean of its divisors is an integer number (145605556105).

Almost surely, 2291211112209 is an apocalyptic number.

It is an amenable number.

291211112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

291211112209 is an equidigital number, since it uses as much as digits as its factorization.

291211112209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 291211112209 in words is "two hundred ninety-one billion, two hundred eleven million, one hundred twelve thousand, two hundred nine".