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123242321 = 1012335237
BaseRepresentation
bin1110101100010…
…00011101010001
322120220100200102
413112020131101
5223022223241
620121302145
73024354026
oct726103521
9276810612
10123242321
1163626864
1235334955
131c6c0967
141252154d
15ac4639b
hex7588751

123242321 has 8 divisors (see below), whose sum is σ = 125020584. Its totient is φ = 121475200.

The previous prime is 123242263. The next prime is 123242347.

123242321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 54169600 + 69072721 = 7360^2 + 8311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123242321 - 218 = 122980177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123242293 and 123242302.

It is not an unprimeable number, because it can be changed into a prime (123292321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20915 + ... + 26151.

It is an arithmetic number, because the mean of its divisors is an integer number (15627573).

Almost surely, 2123242321 is an apocalyptic number.

It is an amenable number.

123242321 is a deficient number, since it is larger than the sum of its proper divisors (1778263).

123242321 is a wasteful number, since it uses less digits than its factorization.

123242321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571.

The product of its digits is 576, while the sum is 20.

The square root of 123242321 is about 11101.4558054338. The cubic root of 123242321 is about 497.6453567166.

The spelling of 123242321 in words is "one hundred twenty-three million, two hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 101 233 5237 23533 528937 1220221 123242321