Search a number
-
+
2331111322213 is a prime number
BaseRepresentation
bin100001111011000001000…
…011111111001001100101
322020212000011012210120021
4201323001003333021211
5301143103444302323
64542521525435141
7330263053206622
oct41730103771145
98225004183507
102331111322213
11819689629a23
1231795056bab1
1313ba90a7137b
1480b7d885349
1540986b3605d
hex21ec10ff265

2331111322213 has 2 divisors, whose sum is σ = 2331111322214. Its totient is φ = 2331111322212.

The previous prime is 2331111322201. The next prime is 2331111322217. The reversal of 2331111322213 is 3122231111332.

2331111322213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2330513666404 + 597655809 = 1526602^2 + 24447^2 .

It is a cyclic number.

It is not a de Polignac number, because 2331111322213 - 241 = 132088066661 is a prime.

It is a super-2 number, since 2×23311113222132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2331111322217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1165555661106 + 1165555661107.

It is an arithmetic number, because the mean of its divisors is an integer number (1165555661107).

Almost surely, 22331111322213 is an apocalyptic number.

It is an amenable number.

2331111322213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331111322213 is an equidigital number, since it uses as much as digits as its factorization.

2331111322213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

Adding to 2331111322213 its reverse (3122231111332), we get a palindrome (5453342433545).

The spelling of 2331111322213 in words is "two trillion, three hundred thirty-one billion, one hundred eleven million, three hundred twenty-two thousand, two hundred thirteen".