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212331011077 is a prime number
BaseRepresentation
bin1100010110111111101…
…0100001110000000101
3202022001201020221200101
43011233322201300011
511434323214323302
6241313222244101
721224521546423
oct3055772416005
9668051227611
10212331011077
118205a358349
1235199286631
131703ac1ba33
14a3c3a66113
1557caccc287
hex316fea1c05

212331011077 has 2 divisors, whose sum is σ = 212331011078. Its totient is φ = 212331011076.

The previous prime is 212331011059. The next prime is 212331011117. The reversal of 212331011077 is 770110133212.

212331011077 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., 201247343236 + 11083667841 = 448606^2 + 105279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212331011077 is a prime.

It is a super-3 number, since 3×2123310110773 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212331011777) 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, 106165505538 + 106165505539.

It is an arithmetic number, because the mean of its divisors is an integer number (106165505539).

Almost surely, 2212331011077 is an apocalyptic number.

It is an amenable number.

212331011077 is a deficient number, since it is larger than the sum of its proper divisors (1).

212331011077 is an equidigital number, since it uses as much as digits as its factorization.

212331011077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

Adding to 212331011077 its reverse (770110133212), we get a palindrome (982441144289).

The spelling of 212331011077 in words is "two hundred twelve billion, three hundred thirty-one million, eleven thousand, seventy-seven".