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214548943601 is a prime number
BaseRepresentation
bin1100011111010000011…
…1010001001011110001
3202111210021200121010102
43013310013101023301
512003344012143401
6242321252242145
721333502634126
oct3076407211361
9674707617112
10214548943601
1182a98315933
12356b8010355
131730258b745
14a55445074d
1558aa88c56b
hex31f41d12f1

214548943601 has 2 divisors, whose sum is σ = 214548943602. Its totient is φ = 214548943600.

The previous prime is 214548943577. The next prime is 214548943603. The reversal of 214548943601 is 106349845412.

214548943601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209091280225 + 5457663376 = 457265^2 + 73876^2 .

It is a cyclic number.

It is not a de Polignac number, because 214548943601 - 214 = 214548927217 is a prime.

Together with 214548943603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (214548943603) 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, 107274471800 + 107274471801.

It is an arithmetic number, because the mean of its divisors is an integer number (107274471801).

Almost surely, 2214548943601 is an apocalyptic number.

It is an amenable number.

214548943601 is a deficient number, since it is larger than the sum of its proper divisors (1).

214548943601 is an equidigital number, since it uses as much as digits as its factorization.

214548943601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 214548943601 in words is "two hundred fourteen billion, five hundred forty-eight million, nine hundred forty-three thousand, six hundred one".