Search a number
-
+
201113333044313 is a prime number
BaseRepresentation
bin101101101110100101011000…
…110001101001010001011001
3222101002020122222011122200012
4231232211120301221101121
5202330020101224404223
61551422104552251305
760234646606124414
oct5556453061512131
9871066588148605
10201113333044313
115909875a542928
121a6811403a0b35
13882aba1436491
143793d19b8cb7b
15183b64532bc78
hexb6e958c69459

201113333044313 has 2 divisors, whose sum is σ = 201113333044314. Its totient is φ = 201113333044312.

The previous prime is 201113333044277. The next prime is 201113333044333. The reversal of 201113333044313 is 313440333311102.

It is a happy number.

201113333044313 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., 106526096037904 + 94587237006409 = 10321148^2 + 9725597^2 .

It is a cyclic number.

It is not a de Polignac number, because 201113333044313 - 230 = 201112259302489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201113333044313.

It is not a weakly prime, because it can be changed into another prime (201113333044333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100556666522156 + 100556666522157.

It is an arithmetic number, because the mean of its divisors is an integer number (100556666522157).

Almost surely, 2201113333044313 is an apocalyptic number.

It is an amenable number.

201113333044313 is a deficient number, since it is larger than the sum of its proper divisors (1).

201113333044313 is an equidigital number, since it uses as much as digits as its factorization.

201113333044313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 201113333044313 its reverse (313440333311102), we get a palindrome (514553666355415).

The spelling of 201113333044313 in words is "two hundred one trillion, one hundred thirteen billion, three hundred thirty-three million, forty-four thousand, three hundred thirteen".