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213201123301 is a prime number
BaseRepresentation
bin1100011010001111000…
…1101111011111100101
3202101022100112020021001
43012203301233133211
511443113441421201
6241535423553301
721255215434645
oct3064361573745
9671270466231
10213201123301
1182466526561
12353a075b831
131714927c53a
14a467442525
15582c3a3301
hex31a3c6f7e5

213201123301 has 2 divisors, whose sum is σ = 213201123302. Its totient is φ = 213201123300.

The previous prime is 213201123293. The next prime is 213201123329. The reversal of 213201123301 is 103321102312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211664404900 + 1536718401 = 460070^2 + 39201^2 .

It is a cyclic number.

It is not a de Polignac number, because 213201123301 - 23 = 213201123293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213201123391) 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, 106600561650 + 106600561651.

It is an arithmetic number, because the mean of its divisors is an integer number (106600561651).

Almost surely, 2213201123301 is an apocalyptic number.

It is an amenable number.

213201123301 is a deficient number, since it is larger than the sum of its proper divisors (1).

213201123301 is an equidigital number, since it uses as much as digits as its factorization.

213201123301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213201123301 its reverse (103321102312), we get a palindrome (316522225613).

The spelling of 213201123301 in words is "two hundred thirteen billion, two hundred one million, one hundred twenty-three thousand, three hundred one".