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211211313329 is a prime number
BaseRepresentation
bin1100010010110100101…
…1001110000010110001
3202012011200100102010102
43010231023032002301
511430030044011304
6241010143242145
721155004353462
oct3045513160261
9665150312112
10211211313329
1181635309905
1234b262a9355
1316bbcc623a3
14a31907ad69
155762854d1e
hex312d2ce0b1

211211313329 has 2 divisors, whose sum is σ = 211211313330. Its totient is φ = 211211313328.

The previous prime is 211211313323. The next prime is 211211313343. The reversal of 211211313329 is 923313112112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183635389729 + 27575923600 = 428527^2 + 166060^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211313329 - 212 = 211211309233 is a prime.

It is a super-2 number, since 2×2112113133292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211211313323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605656664 + 105605656665.

It is an arithmetic number, because the mean of its divisors is an integer number (105605656665).

Almost surely, 2211211313329 is an apocalyptic number.

It is an amenable number.

211211313329 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211313329 is an equidigital number, since it uses as much as digits as its factorization.

211211313329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 29.

The spelling of 211211313329 in words is "two hundred eleven billion, two hundred eleven million, three hundred thirteen thousand, three hundred twenty-nine".