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211322432129 is a prime number
BaseRepresentation
bin1100010011001111001…
…1000110101010000001
3202012110102102211110112
43010303303012222001
511430242020312004
6241025153041105
721160524015134
oct3046363065201
9665412384415
10211322432129
1181692005026
1234b57556195
1316c09c99a63
14a329b2421b
15576c4a3e6e
hex3133cc6a81

211322432129 has 2 divisors, whose sum is σ = 211322432130. Its totient is φ = 211322432128.

The previous prime is 211322432089. The next prime is 211322432281. The reversal of 211322432129 is 921234223112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128249934400 + 83072497729 = 358120^2 + 288223^2 .

It is a cyclic number.

It is not a de Polignac number, because 211322432129 - 224 = 211305654913 is a prime.

It is a super-2 number, since 2×2113224321292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211322432095 and 211322432104.

It is not a weakly prime, because it can be changed into another prime (211322432029) 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, 105661216064 + 105661216065.

It is an arithmetic number, because the mean of its divisors is an integer number (105661216065).

Almost surely, 2211322432129 is an apocalyptic number.

It is an amenable number.

211322432129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211322432129 is an equidigital number, since it uses as much as digits as its factorization.

211322432129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 32.

The spelling of 211322432129 in words is "two hundred eleven billion, three hundred twenty-two million, four hundred thirty-two thousand, one hundred twenty-nine".