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212956320329 is a prime number
BaseRepresentation
bin1100011001010100101…
…1111001001001001001
3202100200021212221201022
43012111023321021021
511442113304222304
6241455241002225
721246153566444
oct3062513711111
9670607787638
10212956320329
1182350322455
1235332783375
131710a6394cc
14a442b1a65b
155815b48ebe
hex31952f9249

212956320329 has 2 divisors, whose sum is σ = 212956320330. Its totient is φ = 212956320328.

The previous prime is 212956320299. The next prime is 212956320431. The reversal of 212956320329 is 923023659212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129400636729 + 83555683600 = 359723^2 + 289060^2 .

It is a cyclic number.

It is not a de Polignac number, because 212956320329 - 228 = 212687884873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212956320329.

It is not a weakly prime, because it can be changed into another prime (212956320229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106478160164 + 106478160165.

It is an arithmetic number, because the mean of its divisors is an integer number (106478160165).

Almost surely, 2212956320329 is an apocalyptic number.

It is an amenable number.

212956320329 is a deficient number, since it is larger than the sum of its proper divisors (1).

212956320329 is an equidigital number, since it uses as much as digits as its factorization.

212956320329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 212956320329 in words is "two hundred twelve billion, nine hundred fifty-six million, three hundred twenty thousand, three hundred twenty-nine".