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123320223 = 32133761467
BaseRepresentation
bin1110101100110…
…11011110011111
322121001022112200
413112123132133
5223032221343
620123102543
73025130115
oct726333637
9277038480
10123320223
116367a344
1235371a53
131c71a260
1412541ab5
15ac5e4d3
hex759b79f

123320223 has 48 divisors (see below), whose sum is σ = 200674656. Its totient is φ = 72472320.

The previous prime is 123320221. The next prime is 123320231. The reversal of 123320223 is 322023321.

It is a happy number.

123320223 is a `hidden beast` number, since 123 + 320 + 223 = 666.

It is not a de Polignac number, because 123320223 - 21 = 123320221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123320196 and 123320205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123320221) 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 in 47 ways as a sum of consecutive naturals, for example, 263836 + ... + 264302.

It is an arithmetic number, because the mean of its divisors is an integer number (4180722).

Almost surely, 2123320223 is an apocalyptic number.

123320223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123320223 is a deficient number, since it is larger than the sum of its proper divisors (77354433).

123320223 is a wasteful number, since it uses less digits than its factorization.

123320223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 123320223 is about 11104.9638900809. The cubic root of 123320223 is about 497.7501892199.

Adding to 123320223 its reverse (322023321), we get a palindrome (445343544).

The spelling of 123320223 in words is "one hundred twenty-three million, three hundred twenty thousand, two hundred twenty-three".

Divisors: 1 3 9 13 37 39 61 111 117 183 333 467 481 549 793 1401 1443 2257 2379 4203 4329 6071 6771 7137 17279 18213 20313 28487 29341 51837 54639 85461 88023 155511 224627 256383 264069 370331 673881 1054019 1110993 2021643 3162057 3332979 9486171 13702247 41106741 123320223