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214056921641 is a prime number
BaseRepresentation
bin1100011101011011001…
…0010110101000101001
3202110111222212021212212
43013112302112220221
512001342032443031
6242200354414505
721315346545563
oct3072662265051
9673458767785
10214056921641
1182865608512
123559b291435
131725466aaa4
14a508d74333
15587c59d12b
hex31d6c96a29

214056921641 has 2 divisors, whose sum is σ = 214056921642. Its totient is φ = 214056921640.

The previous prime is 214056921619. The next prime is 214056921667. The reversal of 214056921641 is 146129650412.

214056921641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213920125225 + 136796416 = 462515^2 + 11696^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214056921641 is a prime.

It is not a weakly prime, because it can be changed into another prime (214056921241) 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, 107028460820 + 107028460821.

It is an arithmetic number, because the mean of its divisors is an integer number (107028460821).

Almost surely, 2214056921641 is an apocalyptic number.

It is an amenable number.

214056921641 is a deficient number, since it is larger than the sum of its proper divisors (1).

214056921641 is an equidigital number, since it uses as much as digits as its factorization.

214056921641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 214056921641 in words is "two hundred fourteen billion, fifty-six million, nine hundred twenty-one thousand, six hundred forty-one".