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213012210049 is a prime number
BaseRepresentation
bin1100011001100010000…
…1000110000110000001
3202100211012001102222221
43012120201012012001
511442222111210144
6241504554531041
721250432624312
oct3063041060601
9670735042887
10213012210049
1182379926201
1235349436a81
13171190a7652
14a44a308609
15581a9d8d84
hex3198846181

213012210049 has 2 divisors, whose sum is σ = 213012210050. Its totient is φ = 213012210048.

The previous prime is 213012209989. The next prime is 213012210079. The reversal of 213012210049 is 940012210312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195127159824 + 17885050225 = 441732^2 + 133735^2 .

It is a cyclic number.

It is not a de Polignac number, because 213012210049 - 235 = 178652471681 is a prime.

It is not a weakly prime, because it can be changed into another prime (213012210079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506105024 + 106506105025.

It is an arithmetic number, because the mean of its divisors is an integer number (106506105025).

Almost surely, 2213012210049 is an apocalyptic number.

It is an amenable number.

213012210049 is a deficient number, since it is larger than the sum of its proper divisors (1).

213012210049 is an equidigital number, since it uses as much as digits as its factorization.

213012210049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 213012210049 in words is "two hundred thirteen billion, twelve million, two hundred ten thousand, forty-nine".