Search a number
-
+
223113300331 is a prime number
BaseRepresentation
bin1100111111001010010…
…1101100100101101011
3210022220011000222220211
43033302211230211223
512123414001102311
6250255152201551
722055645522155
oct3176245544553
9708804028824
10223113300331
11866927068a9
12372a82392b7
13180689ca94c
14ab27a63ad5
155c0c6b4821
hex33f296c96b

223113300331 has 2 divisors, whose sum is σ = 223113300332. Its totient is φ = 223113300330.

The previous prime is 223113300313. The next prime is 223113300367. The reversal of 223113300331 is 133003311322.

Together with previous prime (223113300313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 223113300331 - 237 = 85674346859 is a prime.

It is a super-3 number, since 3×2231133003313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223113304331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556650165 + 111556650166.

It is an arithmetic number, because the mean of its divisors is an integer number (111556650166).

Almost surely, 2223113300331 is an apocalyptic number.

223113300331 is a deficient number, since it is larger than the sum of its proper divisors (1).

223113300331 is an equidigital number, since it uses as much as digits as its factorization.

223113300331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 223113300331 its reverse (133003311322), we get a palindrome (356116611653).

The spelling of 223113300331 in words is "two hundred twenty-three billion, one hundred thirteen million, three hundred thousand, three hundred thirty-one".