Search a number
-
+
212000220102031 is a prime number
BaseRepresentation
bin110000001101000000100101…
…110011111011110110001111
31000210122000121211212111120221
4300031000211303323312033
5210241402422321231111
62030515320121052211
762440340041220104
oct6015004563736617
91023560554774527
10212000220102031
1161605874460059
121b93b090927067
13913a6c545374a
143a4cc18938aab
15197992b48a371
hexc0d025cfbd8f

212000220102031 has 2 divisors, whose sum is σ = 212000220102032. Its totient is φ = 212000220102030.

The previous prime is 212000220101987. The next prime is 212000220102103. The reversal of 212000220102031 is 130201022000212.

It is a happy number.

Together with next prime (212000220102103) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 212000220102031 - 29 = 212000220101519 is a prime.

It is a super-2 number, since 2×2120002201020312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212000220101996 and 212000220102014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212000220105031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000110051015 + 106000110051016.

It is an arithmetic number, because the mean of its divisors is an integer number (106000110051016).

Almost surely, 2212000220102031 is an apocalyptic number.

212000220102031 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000220102031 is an equidigital number, since it uses as much as digits as its factorization.

212000220102031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212000220102031 its reverse (130201022000212), we get a palindrome (342201242102243).

The spelling of 212000220102031 in words is "two hundred twelve trillion, two hundred twenty million, one hundred two thousand, thirty-one".