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234100002221 is a prime number
BaseRepresentation
bin1101101000000101110…
…0101000110110101101
3211101020211110021120122
43122001130220312231
512313414100032341
6255313303254325
722625134121051
oct3320134506655
9741224407518
10234100002221
1190310391618
123945374a3a5
13190c9c4a497
14b48ac71c61
156151ec894b
hex3681728dad

234100002221 has 2 divisors, whose sum is σ = 234100002222. Its totient is φ = 234100002220.

The previous prime is 234100002197. The next prime is 234100002223. The reversal of 234100002221 is 122200001432.

234100002221 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., 178316175625 + 55783826596 = 422275^2 + 236186^2 .

It is a cyclic number.

It is not a de Polignac number, because 234100002221 - 214 = 234099985837 is a prime.

It is a super-2 number, since 2×2341000022212 (a number of 24 digits) contains 22 as substring.

Together with 234100002223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 234100002221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (234100002223) 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, 117050001110 + 117050001111.

It is an arithmetic number, because the mean of its divisors is an integer number (117050001111).

Almost surely, 2234100002221 is an apocalyptic number.

It is an amenable number.

234100002221 is a deficient number, since it is larger than the sum of its proper divisors (1).

234100002221 is an equidigital number, since it uses as much as digits as its factorization.

234100002221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 234100002221 its reverse (122200001432), we get a palindrome (356300003653).

The spelling of 234100002221 in words is "two hundred thirty-four billion, one hundred million, two thousand, two hundred twenty-one".