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214101322213 is a prime number
BaseRepresentation
bin1100011101100101101…
…1101110100111100101
3202110122002102002000111
43013121123232213211
512001434414302323
6242205022213021
721316426132402
oct3073133564745
9673562362014
10214101322213
11828886842a9
12355b2124171
131726091560c
14a510c112a9
15588141dc0d
hex31d96ee9e5

214101322213 has 2 divisors, whose sum is σ = 214101322214. Its totient is φ = 214101322212.

The previous prime is 214101322199. The next prime is 214101322283. The reversal of 214101322213 is 312223101412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213663968644 + 437353569 = 462238^2 + 20913^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214101322213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214101322283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107050661106 + 107050661107.

It is an arithmetic number, because the mean of its divisors is an integer number (107050661107).

Almost surely, 2214101322213 is an apocalyptic number.

It is an amenable number.

214101322213 is a deficient number, since it is larger than the sum of its proper divisors (1).

214101322213 is an equidigital number, since it uses as much as digits as its factorization.

214101322213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 214101322213 its reverse (312223101412), we get a palindrome (526324423625).

The spelling of 214101322213 in words is "two hundred fourteen billion, one hundred one million, three hundred twenty-two thousand, two hundred thirteen".