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123042135 = 3543190763
BaseRepresentation
bin1110101010101…
…11100101010111
322120112012002010
413111113211113
5222444322020
620113115303
73022561266
oct725274527
9276465063
10123042135
11634aa417
1235258b33
131c6507c8
14124ac5dd
15ac06de0
hex7557957

123042135 has 16 divisors (see below), whose sum is σ = 201446784. Its totient is φ = 64096032.

The previous prime is 123042133. The next prime is 123042137. The reversal of 123042135 is 531240321.

It is an interprime number because it is at equal distance from previous prime (123042133) and next prime (123042137).

It is not a de Polignac number, because 123042135 - 21 = 123042133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123042133) 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, 94737 + ... + 96026.

It is an arithmetic number, because the mean of its divisors is an integer number (12590424).

Almost surely, 2123042135 is an apocalyptic number.

123042135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123042135 is a deficient number, since it is larger than the sum of its proper divisors (78404649).

123042135 is a wasteful number, since it uses less digits than its factorization.

123042135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190814.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 123042135 is about 11092.4359362585. The cubic root of 123042135 is about 497.3757642024.

Adding to 123042135 its reverse (531240321), we get a palindrome (654282456).

It can be divided in two parts, 1230 and 42135, that added together give a triangular number (43365 = T294).

The spelling of 123042135 in words is "one hundred twenty-three million, forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 15 43 129 215 645 190763 572289 953815 2861445 8202809 24608427 41014045 123042135