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212087851849 is a prime number
BaseRepresentation
bin1100010110000101101…
…0111100101101001001
3202021102202201011221001
43011201122330231021
511433323442224344
6241233134415001
721215506665406
oct3054132745511
9667382634831
10212087851849
1181a45077205
123512b961461
1316ccc732c33
14a39d64b2ad
1557b4799ed4
hex31616bcb49

212087851849 has 2 divisors, whose sum is σ = 212087851850. Its totient is φ = 212087851848.

The previous prime is 212087851831. The next prime is 212087851867. The reversal of 212087851849 is 948158780212.

212087851849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (212087851831) and next prime (212087851867).

It can be written as a sum of positive squares in only one way, i.e., 210962920249 + 1124931600 = 459307^2 + 33540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212087851849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212087851849.

It is not a weakly prime, because it can be changed into another prime (212087851049) 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, 106043925924 + 106043925925.

It is an arithmetic number, because the mean of its divisors is an integer number (106043925925).

Almost surely, 2212087851849 is an apocalyptic number.

It is an amenable number.

212087851849 is a deficient number, since it is larger than the sum of its proper divisors (1).

212087851849 is an equidigital number, since it uses as much as digits as its factorization.

212087851849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 212087851849 in words is "two hundred twelve billion, eighty-seven million, eight hundred fifty-one thousand, eight hundred forty-nine".