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213045780977 is a prime number
BaseRepresentation
bin1100011001101010000…
…1001010000111110001
3202100220112020000122122
43012122201022013301
511442304204442402
6241512154244025
721251321154611
oct3063241120761
9670815200578
10213045780977
1182396875577
1235358726615
131712302cac3
14a450966a41
15581d91aca2
hex319a84a1f1

213045780977 has 2 divisors, whose sum is σ = 213045780978. Its totient is φ = 213045780976.

The previous prime is 213045780797. The next prime is 213045781043. The reversal of 213045780977 is 779087540312.

Together with previous prime (213045780797) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206555706256 + 6490074721 = 454484^2 + 80561^2 .

It is a cyclic number.

It is not a de Polignac number, because 213045780977 - 232 = 208750813681 is a prime.

It is not a weakly prime, because it can be changed into another prime (213045740977) 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, 106522890488 + 106522890489.

It is an arithmetic number, because the mean of its divisors is an integer number (106522890489).

Almost surely, 2213045780977 is an apocalyptic number.

It is an amenable number.

213045780977 is a deficient number, since it is larger than the sum of its proper divisors (1).

213045780977 is an equidigital number, since it uses as much as digits as its factorization.

213045780977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2963520, while the sum is 53.

The spelling of 213045780977 in words is "two hundred thirteen billion, forty-five million, seven hundred eighty thousand, nine hundred seventy-seven".