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231123222133 is a prime number
BaseRepresentation
bin1101011101000000000…
…1000111111001110101
3211002120101010011222021
43113100001013321311
512241320021102013
6254102044433141
722461306654646
oct3272001077165
9732511104867
10231123222133
118a023040691
12389628487b1
1318a44305b4b
14b2877916cd
15602a9bea8d
hex35d0047e75

231123222133 has 2 divisors, whose sum is σ = 231123222134. Its totient is φ = 231123222132.

The previous prime is 231123222059. The next prime is 231123222139. The reversal of 231123222133 is 331222321132.

231123222133 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., 212928719364 + 18194502769 = 461442^2 + 134887^2 .

It is a cyclic number.

It is not a de Polignac number, because 231123222133 - 225 = 231089667701 is a prime.

It is a super-2 number, since 2×2311232221332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231123222098 and 231123222107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231123222139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115561611066 + 115561611067.

It is an arithmetic number, because the mean of its divisors is an integer number (115561611067).

Almost surely, 2231123222133 is an apocalyptic number.

It is an amenable number.

231123222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

231123222133 is an equidigital number, since it uses as much as digits as its factorization.

231123222133 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 231123222133 its reverse (331222321132), we get a palindrome (562345543265).

The spelling of 231123222133 in words is "two hundred thirty-one billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred thirty-three".