Search a number
-
+
12202112101 is a prime number
BaseRepresentation
bin10110101110100110…
…10111010001100101
31011111101102112000211
423113103113101211
5144442220041401
65334445335421
7611244145564
oct132723272145
934441375024
1012202112101
1151a1857473
122446567571
1311c5cab29a
1483a7cdbdb
154b6395951
hex2d74d7465

12202112101 has 2 divisors, whose sum is σ = 12202112102. Its totient is φ = 12202112100.

The previous prime is 12202112093. The next prime is 12202112119. The reversal of 12202112101 is 10121120221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11502562500 + 699549601 = 107250^2 + 26449^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202112101 - 23 = 12202112093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12202112141) 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, 6101056050 + 6101056051.

It is an arithmetic number, because the mean of its divisors is an integer number (6101056051).

Almost surely, 212202112101 is an apocalyptic number.

It is an amenable number.

12202112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202112101 is an equidigital number, since it uses as much as digits as its factorization.

12202112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12202112101 its reverse (10121120221), we get a palindrome (22323232322).

The spelling of 12202112101 in words is "twelve billion, two hundred two million, one hundred twelve thousand, one hundred one".