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213457065641 is a prime number
BaseRepresentation
bin1100011011001100001…
…0000101011010101001
3202101222012010110010222
43012303002011122221
511444130002100031
6242021045415425
721264444056351
oct3066302053251
9671865113128
10213457065641
1182587a48856
123545240a575
131718a2c2901
14a48d427b61
155844aace7b
hex31b30856a9

213457065641 has 2 divisors, whose sum is σ = 213457065642. Its totient is φ = 213457065640.

The previous prime is 213457065631. The next prime is 213457065649. The reversal of 213457065641 is 146560754312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155172966400 + 58284099241 = 393920^2 + 241421^2 .

It is a cyclic number.

It is not a de Polignac number, because 213457065641 - 210 = 213457064617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213457065592 and 213457065601.

It is not a weakly prime, because it can be changed into another prime (213457065649) 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, 106728532820 + 106728532821.

It is an arithmetic number, because the mean of its divisors is an integer number (106728532821).

Almost surely, 2213457065641 is an apocalyptic number.

It is an amenable number.

213457065641 is a deficient number, since it is larger than the sum of its proper divisors (1).

213457065641 is an equidigital number, since it uses as much as digits as its factorization.

213457065641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 213457065641 in words is "two hundred thirteen billion, four hundred fifty-seven million, sixty-five thousand, six hundred forty-one".