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212123312201 is a prime number
BaseRepresentation
bin1100010110001110001…
…0001110000001001001
3202021112020102202101102
43011203202032001021
511433412031442301
6241240442431145
721216420255353
oct3054342160111
9667466382342
10212123312201
1181a63097089
123513b8024b5
1317006b9a3a8
14a3a423c0d3
1557b7951b6b
hex316388e049

212123312201 has 2 divisors, whose sum is σ = 212123312202. Its totient is φ = 212123312200.

The previous prime is 212123312173. The next prime is 212123312237. The reversal of 212123312201 is 102213321212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174418993225 + 37704318976 = 417635^2 + 194176^2 .

It is a cyclic number.

It is not a de Polignac number, because 212123312201 - 222 = 212119117897 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122312201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061656100 + 106061656101.

It is an arithmetic number, because the mean of its divisors is an integer number (106061656101).

Almost surely, 2212123312201 is an apocalyptic number.

It is an amenable number.

212123312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212123312201 is an equidigital number, since it uses as much as digits as its factorization.

212123312201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212123312201 its reverse (102213321212), we get a palindrome (314336633413).

The spelling of 212123312201 in words is "two hundred twelve billion, one hundred twenty-three million, three hundred twelve thousand, two hundred one".