Search a number
-
+
12111111101 is a prime number
BaseRepresentation
bin10110100011110000…
…01110001110111101
31011021001012012010102
423101320032032331
5144300421023401
65321435050445
7606060513545
oct132170161675
934231165112
1012111111101
115155452031
12241bba0a25
1311b019883b
1482c6a2325
154ad3bc56b
hex2d1e0e3bd

12111111101 has 2 divisors, whose sum is σ = 12111111102. Its totient is φ = 12111111100.

The previous prime is 12111111097. The next prime is 12111111113. The reversal of 12111111101 is 10111111121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9422584900 + 2688526201 = 97070^2 + 51851^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111111101 - 22 = 12111111097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111111601) 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, 6055555550 + 6055555551.

It is an arithmetic number, because the mean of its divisors is an integer number (6055555551).

Almost surely, 212111111101 is an apocalyptic number.

It is an amenable number.

12111111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111111101 is an equidigital number, since it uses as much as digits as its factorization.

12111111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 12111111101 its reverse (10111111121), we get a palindrome (22222222222).

The spelling of 12111111101 in words is "twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred one".