Search a number
-
+
212011201201 is a prime number
BaseRepresentation
bin1100010101110011011…
…0100011001010110001
3202021020102110221000011
43011130312203022301
511433144331414301
6241221355454521
721213556322212
oct3053466431261
9667212427004
10212011201201
1181a05883468
123510a157441
1316cb98a6217
14a3933b7409
1557acba8a51
hex315cda32b1

212011201201 has 2 divisors, whose sum is σ = 212011201202. Its totient is φ = 212011201200.

The previous prime is 212011201163. The next prime is 212011201219. The reversal of 212011201201 is 102102110212.

212011201201 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., 195576217600 + 16434983601 = 442240^2 + 128199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212011201201 is a prime.

It is not a weakly prime, because it can be changed into another prime (212011201271) 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, 106005600600 + 106005600601.

It is an arithmetic number, because the mean of its divisors is an integer number (106005600601).

Almost surely, 2212011201201 is an apocalyptic number.

It is an amenable number.

212011201201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011201201 is an equidigital number, since it uses as much as digits as its factorization.

212011201201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212011201201 its reverse (102102110212), we get a palindrome (314113311413).

The spelling of 212011201201 in words is "two hundred twelve billion, eleven million, two hundred one thousand, two hundred one".