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223231312331 is a prime number
BaseRepresentation
bin1100111111100110011…
…1111000000111001011
3210100012101002121221122
43033321213320013023
512124134203443311
6250315005425455
722061610563366
oct3177147700713
9710171077848
10223231312331
118674328aa85
123731b86b28b
13180872a9a31
14ab395c30dd
155c17c260db
hex33f99f81cb

223231312331 has 2 divisors, whose sum is σ = 223231312332. Its totient is φ = 223231312330.

The previous prime is 223231312279. The next prime is 223231312397. The reversal of 223231312331 is 133213132322.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 223231312331 - 218 = 223231050187 is a prime.

It is a super-3 number, since 3×2232313123313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223231312331.

It is not a weakly prime, because it can be changed into another prime (223231312231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111615656165 + 111615656166.

It is an arithmetic number, because the mean of its divisors is an integer number (111615656166).

Almost surely, 2223231312331 is an apocalyptic number.

223231312331 is a deficient number, since it is larger than the sum of its proper divisors (1).

223231312331 is an equidigital number, since it uses as much as digits as its factorization.

223231312331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 26.

Adding to 223231312331 its reverse (133213132322), we get a palindrome (356444444653).

The spelling of 223231312331 in words is "two hundred twenty-three billion, two hundred thirty-one million, three hundred twelve thousand, three hundred thirty-one".