Search a number
-
+
212211242857 is a prime number
BaseRepresentation
bin1100010110100011000…
…1101001011101101001
3202021202100220002120101
43011220301221131221
511434102034232412
6241253303225401
721221535542065
oct3055061513551
9667670802511
10212211242857
1181aa8794749
1235165148261
131701c176473
14a3b1baaaa5
1557c0520457
hex3168c69769

212211242857 has 2 divisors, whose sum is σ = 212211242858. Its totient is φ = 212211242856.

The previous prime is 212211242833. The next prime is 212211242891. The reversal of 212211242857 is 758242112212.

212211242857 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., 108576181081 + 103635061776 = 329509^2 + 321924^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211242857 - 231 = 210063759209 is a prime.

It is a super-2 number, since 2×2122112428572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212211242897) 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, 106105621428 + 106105621429.

It is an arithmetic number, because the mean of its divisors is an integer number (106105621429).

Almost surely, 2212211242857 is an apocalyptic number.

It is an amenable number.

212211242857 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211242857 is an equidigital number, since it uses as much as digits as its factorization.

212211242857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35840, while the sum is 37.

The spelling of 212211242857 in words is "two hundred twelve billion, two hundred eleven million, two hundred forty-two thousand, eight hundred fifty-seven".