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211131234329 is a prime number
BaseRepresentation
bin1100010010100001100…
…1101111100000011001
3202011222002122222101112
43010220121233200121
511424344043444304
6240554203030105
721153012611141
oct3045031574031
9664862588345
10211131234329
11815a4094314
1234b0350b335
1316ba94a5072
14a30c593921
15575a7d7b6e
hex312866f819

211131234329 has 2 divisors, whose sum is σ = 211131234330. Its totient is φ = 211131234328.

The previous prime is 211131234317. The next prime is 211131234331. The reversal of 211131234329 is 923432131112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121416008704 + 89715225625 = 348448^2 + 299525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211131234329 is a prime.

Together with 211131234331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 211131234295 and 211131234304.

It is not a weakly prime, because it can be changed into another prime (211131234359) 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, 105565617164 + 105565617165.

It is an arithmetic number, because the mean of its divisors is an integer number (105565617165).

Almost surely, 2211131234329 is an apocalyptic number.

It is an amenable number.

211131234329 is a deficient number, since it is larger than the sum of its proper divisors (1).

211131234329 is an equidigital number, since it uses as much as digits as its factorization.

211131234329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 32.

The spelling of 211131234329 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred thirty-four thousand, three hundred twenty-nine".