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123312123 = 32119712841
BaseRepresentation
bin1110101100110…
…01011111111011
322121000220102200
413112121133323
5223031441443
620123001243
73025064364
oct726313773
9277026380
10123312123
1163674250
1235369223
131c71666c
141253cb6b
15ac5bdd3
hex75997fb

123312123 has 24 divisors (see below), whose sum is σ = 196328496. Its totient is φ = 73958400.

The previous prime is 123312113. The next prime is 123312181. The reversal of 123312123 is 321213321.

123312123 = 23572 + 23582 + ... + 23782.

It is not a de Polignac number, because 123312123 - 24 = 123312107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123312096 and 123312105.

It is not an unprimeable number, because it can be changed into a prime (123312103) 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 23 ways as a sum of consecutive naturals, for example, 3183 + ... + 16023.

It is an arithmetic number, because the mean of its divisors is an integer number (8180354).

Almost surely, 2123312123 is an apocalyptic number.

123312123 is a deficient number, since it is larger than the sum of its proper divisors (73016373).

123312123 is a wasteful number, since it uses less digits than its factorization.

123312123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12952 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 123312123 is about 11104.5991823208. The cubic root of 123312123 is about 497.7392911295.

Adding to 123312123 its reverse (321213321), we get a palindrome (444525444).

The spelling of 123312123 in words is "one hundred twenty-three million, three hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 97 99 291 873 1067 3201 9603 12841 38523 115569 141251 423753 1245577 1271259 3736731 11210193 13701347 41104041 123312123