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214263041261 is a prime number
BaseRepresentation
bin1100011110001100010…
…0101000110011101101
3202111001100201020211212
43013203010220303231
512002302314310021
6242233040324205
721323431541453
oct3074304506355
9674040636755
10214263041261
11829609a0205
1235638313665
1317288288669
14a5284aa9d3
15589071585b
hex31e3128ced

214263041261 has 2 divisors, whose sum is σ = 214263041262. Its totient is φ = 214263041260.

The previous prime is 214263041243. The next prime is 214263041263. The reversal of 214263041261 is 162140362412.

214263041261 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., 135622056361 + 78640984900 = 368269^2 + 280430^2 .

It is a cyclic number.

It is not a de Polignac number, because 214263041261 - 226 = 214195932397 is a prime.

Together with 214263041263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214263041263) 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, 107131520630 + 107131520631.

It is an arithmetic number, because the mean of its divisors is an integer number (107131520631).

Almost surely, 2214263041261 is an apocalyptic number.

It is an amenable number.

214263041261 is a deficient number, since it is larger than the sum of its proper divisors (1).

214263041261 is an equidigital number, since it uses as much as digits as its factorization.

214263041261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 214263041261 in words is "two hundred fourteen billion, two hundred sixty-three million, forty-one thousand, two hundred sixty-one".