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212101412273 is a prime number
BaseRepresentation
bin1100010110001000111…
…0101011010110110001
3202021110201020010022222
43011202032223112301
511433340430143043
6241234341210425
721216033154232
oct3054216532661
9667421203288
10212101412273
1181a51799373
1235134400a15
13170024a025a
14a3a137b089
1557b5a77d68
hex31623ab5b1

212101412273 has 2 divisors, whose sum is σ = 212101412274. Its totient is φ = 212101412272.

The previous prime is 212101412249. The next prime is 212101412293. The reversal of 212101412273 is 372214101212.

It is a happy number.

212101412273 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., 194148628129 + 17952784144 = 440623^2 + 133988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212101412273 is a prime.

It is a super-2 number, since 2×2121014122732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212101412293) 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, 106050706136 + 106050706137.

It is an arithmetic number, because the mean of its divisors is an integer number (106050706137).

Almost surely, 2212101412273 is an apocalyptic number.

It is an amenable number.

212101412273 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101412273 is an equidigital number, since it uses as much as digits as its factorization.

212101412273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 212101412273 its reverse (372214101212), we get a palindrome (584315513485).

The spelling of 212101412273 in words is "two hundred twelve billion, one hundred one million, four hundred twelve thousand, two hundred seventy-three".