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212012329601 is a prime number
BaseRepresentation
bin1100010101110011101…
…0110110101010000001
3202021020111121020212202
43011130322312222001
511433200124021401
6241221440002545
721213602032052
oct3053472665201
9667214536782
10212012329601
1181a06484226
123510a600455
1316cb9baca07
14a3935cc729
1557acd2d06b
hex315ceb6a81

212012329601 has 2 divisors, whose sum is σ = 212012329602. Its totient is φ = 212012329600.

The previous prime is 212012329591. The next prime is 212012329649. The reversal of 212012329601 is 106923210212.

212012329601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209310825025 + 2701504576 = 457505^2 + 51976^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012329601 - 218 = 212012067457 is a prime.

It is not a weakly prime, because it can be changed into another prime (212012329201) 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, 106006164800 + 106006164801.

It is an arithmetic number, because the mean of its divisors is an integer number (106006164801).

Almost surely, 2212012329601 is an apocalyptic number.

It is an amenable number.

212012329601 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012329601 is an equidigital number, since it uses as much as digits as its factorization.

212012329601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 212012329601 its reverse (106923210212), we get a palindrome (318935539813).

The spelling of 212012329601 in words is "two hundred twelve billion, twelve million, three hundred twenty-nine thousand, six hundred one".