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212013302329 is a prime number
BaseRepresentation
bin1100010101110011111…
…0100100001000111001
3202021020120102200012201
43011130332210020321
511433200401133304
6241221512510201
721213613223023
oct3053476441071
9667216380181
10212013302329
1181a06a89034
123510a9ab361
1316cba1606aa
14a3937a3013
1557ace713a4
hex315cfa4239

212013302329 has 2 divisors, whose sum is σ = 212013302330. Its totient is φ = 212013302328.

The previous prime is 212013302309. The next prime is 212013302383. The reversal of 212013302329 is 923203310212.

212013302329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190322787600 + 21690514729 = 436260^2 + 147277^2 .

It is a cyclic number.

It is not a de Polignac number, because 212013302329 - 215 = 212013269561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212013302297 and 212013302306.

It is not a weakly prime, because it can be changed into another prime (212013302309) 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, 106006651164 + 106006651165.

It is an arithmetic number, because the mean of its divisors is an integer number (106006651165).

Almost surely, 2212013302329 is an apocalyptic number.

It is an amenable number.

212013302329 is a deficient number, since it is larger than the sum of its proper divisors (1).

212013302329 is an equidigital number, since it uses as much as digits as its factorization.

212013302329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 212013302329 in words is "two hundred twelve billion, thirteen million, three hundred two thousand, three hundred twenty-nine".