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212130112213 is a prime number
BaseRepresentation
bin1100010110001111110…
…0001010001011010101
3202021112201020020020201
43011203330022023111
511433420302042323
6241241244300501
721216532126435
oct3054374121325
9667481206221
10212130112213
1181a66a11028
1235141b41731
131700840b576
14a3a50cc2c5
1557b83468ad
hex3163f0a2d5

212130112213 has 2 divisors, whose sum is σ = 212130112214. Its totient is φ = 212130112212.

The previous prime is 212130112177. The next prime is 212130112217. The reversal of 212130112213 is 312211031212.

212130112213 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., 186193976004 + 25936136209 = 431502^2 + 161047^2 .

It is a cyclic number.

It is not a de Polignac number, because 212130112213 - 29 = 212130111701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212130112217) 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, 106065056106 + 106065056107.

It is an arithmetic number, because the mean of its divisors is an integer number (106065056107).

Almost surely, 2212130112213 is an apocalyptic number.

It is an amenable number.

212130112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

212130112213 is an equidigital number, since it uses as much as digits as its factorization.

212130112213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212130112213 its reverse (312211031212), we get a palindrome (524341143425).

The spelling of 212130112213 in words is "two hundred twelve billion, one hundred thirty million, one hundred twelve thousand, two hundred thirteen".