Search a number
-
+
20122212010193 is a prime number
BaseRepresentation
bin1001001001101000100010…
…10011001000100011010001
32122020122221112220212200122
410210310101103020203101
510114140242233311233
6110444003325400025
74144532112664406
oct444642123104321
978218845825618
1020122212010193
116458867105157
12230b9a0109015
13b2c693846277
144d7cc528a2ad
1524d65912bd98
hex124d114c88d1

20122212010193 has 2 divisors, whose sum is σ = 20122212010194. Its totient is φ = 20122212010192.

The previous prime is 20122212010139. The next prime is 20122212010253. The reversal of 20122212010193 is 39101021222102.

Together with previous prime (20122212010139) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14293715174209 + 5828496835984 = 3780703^2 + 2414228^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122212010193 - 26 = 20122212010129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (20122212010093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061106005096 + 10061106005097.

It is an arithmetic number, because the mean of its divisors is an integer number (10061106005097).

Almost surely, 220122212010193 is an apocalyptic number.

It is an amenable number.

20122212010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122212010193 is an equidigital number, since it uses as much as digits as its factorization.

20122212010193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 20122212010193 its reverse (39101021222102), we get a palindrome (59223233232295).

The spelling of 20122212010193 in words is "twenty trillion, one hundred twenty-two billion, two hundred twelve million, ten thousand, one hundred ninety-three".