Search a number
-
+
2232123212113 is a prime number
BaseRepresentation
bin100000011110110100111…
…010010100000101010001
321220101111111121210022021
4200132310322110011101
5243032342020241423
64425231231011441
7320160044152504
oct40366472240521
97811444553267
102232123212113
117907023a8773
12300725669b81
13132646aa2962
147a06cd8913b
153d0e167a95d
hex207b4e94151

2232123212113 has 2 divisors, whose sum is σ = 2232123212114. Its totient is φ = 2232123212112.

The previous prime is 2232123212101. The next prime is 2232123212237. The reversal of 2232123212113 is 3112123212322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1835352981504 + 396770230609 = 1354752^2 + 629897^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232123212113 - 221 = 2232121114961 is a prime.

It is a super-3 number, since 3×22321232121133 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232123218113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116061606056 + 1116061606057.

It is an arithmetic number, because the mean of its divisors is an integer number (1116061606057).

Almost surely, 22232123212113 is an apocalyptic number.

It is an amenable number.

2232123212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232123212113 is an equidigital number, since it uses as much as digits as its factorization.

2232123212113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 25.

Adding to 2232123212113 its reverse (3112123212322), we get a palindrome (5344246424435).

The spelling of 2232123212113 in words is "two trillion, two hundred thirty-two billion, one hundred twenty-three million, two hundred twelve thousand, one hundred thirteen".