Search a number
-
+
212012161177 is a prime number
BaseRepresentation
bin1100010101110011101…
…0001101100010011001
3202021020111021200211211
43011130322031202121
511433200103124202
6241221432223121
721213600431035
oct3053472154231
9667214250754
10212012161177
1181a06379733
123510a53aaa1
1316cb9b5115b
14a3935871c5
1557acce81d7
hex315ce8d899

212012161177 has 2 divisors, whose sum is σ = 212012161178. Its totient is φ = 212012161176.

The previous prime is 212012161171. The next prime is 212012161201. The reversal of 212012161177 is 771161210212.

212012161177 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., 187104693136 + 24907468041 = 432556^2 + 157821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212012161177 is a prime.

It is not a weakly prime, because it can be changed into another prime (212012161171) 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, 106006080588 + 106006080589.

It is an arithmetic number, because the mean of its divisors is an integer number (106006080589).

Almost surely, 2212012161177 is an apocalyptic number.

It is an amenable number.

212012161177 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012161177 is an equidigital number, since it uses as much as digits as its factorization.

212012161177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 31.

Adding to 212012161177 its reverse (771161210212), we get a palindrome (983173371389).

The spelling of 212012161177 in words is "two hundred twelve billion, twelve million, one hundred sixty-one thousand, one hundred seventy-seven".