Search a number
-
+
2122202113 is a prime number
BaseRepresentation
bin111111001111110…
…0011110000000001
312110220022001000021
41332133203300001
513321240431423
6550330053441
7103406264113
oct17637436001
95426261007
102122202113
11999a22949
124b287a281
1327a8926c5
14161bc93b3
15c64a095d
hex7e7e3c01

2122202113 has 2 divisors, whose sum is σ = 2122202114. Its totient is φ = 2122202112.

The previous prime is 2122202087. The next prime is 2122202119. The reversal of 2122202113 is 3112022212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1685266704 + 436935409 = 41052^2 + 20903^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122202113 - 217 = 2122071041 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122202119) 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, 1061101056 + 1061101057.

It is an arithmetic number, because the mean of its divisors is an integer number (1061101057).

Almost surely, 22122202113 is an apocalyptic number.

It is an amenable number.

2122202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122202113 is an equidigital number, since it uses as much as digits as its factorization.

2122202113 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.

The square root of 2122202113 is about 46067.3649452625. The cubic root of 2122202113 is about 1285.0763000312.

Adding to 2122202113 its reverse (3112022212), we get a palindrome (5234224325).

The spelling of 2122202113 in words is "two billion, one hundred twenty-two million, two hundred two thousand, one hundred thirteen".