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211322133229 is a prime number
BaseRepresentation
bin1100010011001111000…
…1111101101011101101
3202012110101212122110011
43010303301331223231
511430241431230404
6241025142413221
721160521331534
oct3046361755355
9665411778404
10211322133229
11816919204a9
1234b57431211
1316c09bc39ac
14a329a8731b
15576c445604
hex3133c7daed

211322133229 has 2 divisors, whose sum is σ = 211322133230. Its totient is φ = 211322133228.

The previous prime is 211322133157. The next prime is 211322133271. The reversal of 211322133229 is 922331223112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143462925225 + 67859208004 = 378765^2 + 260498^2 .

It is a cyclic number.

It is not a de Polignac number, because 211322133229 - 27 = 211322133101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211322133229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211322113229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105661066614 + 105661066615.

It is an arithmetic number, because the mean of its divisors is an integer number (105661066615).

Almost surely, 2211322133229 is an apocalyptic number.

It is an amenable number.

211322133229 is a deficient number, since it is larger than the sum of its proper divisors (1).

211322133229 is an equidigital number, since it uses as much as digits as its factorization.

211322133229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 31.

The spelling of 211322133229 in words is "two hundred eleven billion, three hundred twenty-two million, one hundred thirty-three thousand, two hundred twenty-nine".