Base | Representation |
---|---|
bin | 1100111111100110011… |
… | …1111000000101100111 |
3 | 210100012101002121210221 |
4 | 3033321213320011213 |
5 | 12124134203442411 |
6 | 250315005425211 |
7 | 22061610563164 |
oct | 3177147700547 |
9 | 710171077727 |
10 | 223231312231 |
11 | 8674328a9a4 |
12 | 3731b86b207 |
13 | 180872a9985 |
14 | ab395c306b |
15 | 5c17c26071 |
hex | 33f99f8167 |
223231312231 has 2 divisors, whose sum is σ = 223231312232. Its totient is φ = 223231312230.
The previous prime is 223231312229. The next prime is 223231312243. The reversal of 223231312231 is 132213132322.
It is a weak prime.
It is a cyclic number.
It is not a de Polignac number, because 223231312231 - 21 = 223231312229 is a prime.
It is a super-3 number, since 3×2232313122313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
Together with 223231312229, it forms a pair of twin primes.
It is a junction number, because it is equal to n+sod(n) for n = 223231312196 and 223231312205.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (223231312261) 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, 111615656115 + 111615656116.
It is an arithmetic number, because the mean of its divisors is an integer number (111615656116).
Almost surely, 2223231312231 is an apocalyptic number.
223231312231 is a deficient number, since it is larger than the sum of its proper divisors (1).
223231312231 is an equidigital number, since it uses as much as digits as its factorization.
223231312231 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 2592, while the sum is 25.
Adding to 223231312231 its reverse (132213132322), we get a palindrome (355444444553).
The spelling of 223231312231 in words is "two hundred twenty-three billion, two hundred thirty-one million, three hundred twelve thousand, two hundred thirty-one".
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