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123323321 = 11217167359
BaseRepresentation
bin1110101100111…
…00001110111001
322121001110210102
413112130032321
5223032321241
620123125145
73025142132
oct726341671
9277043712
10123323321
1163681700
12353737b5
131c71b7a4
1412542c89
15ac6039b
hex759c3b9

123323321 has 24 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 104593280.

The previous prime is 123323311. The next prime is 123323327.

123323321 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-123323321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123323293 and 123323302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123323327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343340 + ... + 343698.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2123323321 is an apocalyptic number.

123323321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123323321 is a deficient number, since it is larger than the sum of its proper divisors (21465799).

123323321 is a wasteful number, since it uses less digits than its factorization.

123323321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 123323321 is about 11105.1033763761. The cubic root of 123323321 is about 497.7543572770.

The spelling of 123323321 in words is "one hundred twenty-three million, three hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 11 17 121 167 187 359 1837 2057 2839 3949 6103 20207 31229 43439 59953 67133 343519 659483 738463 1019201 7254313 11211211 123323321