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212030131217 is a prime number
BaseRepresentation
bin1100010101110111111…
…0110000110000010001
3202021021202002200002212
43011131332300300101
511433214203144332
6241223313321505
721214206243602
oct3053576606021
9667252080085
10212030131217
1181a15532903
1235114566295
1316cc07a3608
14a395b03da9
1557ae6978b2
hex315dfb0c11

212030131217 has 2 divisors, whose sum is σ = 212030131218. Its totient is φ = 212030131216.

The previous prime is 212030131171. The next prime is 212030131223. The reversal of 212030131217 is 712131030212.

212030131217 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., 167555960896 + 44474170321 = 409336^2 + 210889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212030131217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212030131192 and 212030131201.

It is not a weakly prime, because it can be changed into another prime (212030131277) 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, 106015065608 + 106015065609.

It is an arithmetic number, because the mean of its divisors is an integer number (106015065609).

Almost surely, 2212030131217 is an apocalyptic number.

It is an amenable number.

212030131217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212030131217 is an equidigital number, since it uses as much as digits as its factorization.

212030131217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 212030131217 its reverse (712131030212), we get a palindrome (924161161429).

The spelling of 212030131217 in words is "two hundred twelve billion, thirty million, one hundred thirty-one thousand, two hundred seventeen".