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123132123 = 338951241
BaseRepresentation
bin1110101011011…
…01100011011011
322120200202112000
413111231203123
5223010211443
620115052043
73023414532
oct725554333
9276622460
10123132123
1163560a94
12352a1023
131c68275a
14124d3319
15ac238d3
hex756d8db

123132123 has 16 divisors (see below), whose sum is σ = 184471200. Its totient is φ = 81164160.

The previous prime is 123132109. The next prime is 123132137. The reversal of 123132123 is 321231321.

It is an interprime number because it is at equal distance from previous prime (123132109) and next prime (123132137).

It is not a de Polignac number, because 123132123 - 26 = 123132059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123132096 and 123132105.

It is not an unprimeable number, because it can be changed into a prime (123132193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23218 + ... + 28023.

It is an arithmetic number, because the mean of its divisors is an integer number (11529450).

Almost surely, 2123132123 is an apocalyptic number.

123132123 is a deficient number, since it is larger than the sum of its proper divisors (61339077).

123132123 is an equidigital number, since it uses as much as digits as its factorization.

123132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51339 (or 51333 counting only the distinct ones).

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

The square root of 123132123 is about 11096.4914725331. The cubic root of 123132123 is about 497.4969881050.

Adding to 123132123 its reverse (321231321), we get a palindrome (444363444).

The spelling of 123132123 in words is "one hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 27 89 267 801 2403 51241 153723 461169 1383507 4560449 13681347 41044041 123132123