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123144132 = 22320994889
BaseRepresentation
bin1110101011100…
…00011111000100
322120201100222210
413111300133010
5223011103012
620115223420
73023464536
oct725603704
9276640883
10123144132
116356a011
12352a7b70
131c688067
14124d7856
15ac2723c
hex75707c4

123144132 has 24 divisors (see below), whose sum is σ = 287532000. Its totient is φ = 41020096.

The previous prime is 123144101. The next prime is 123144143. The reversal of 123144132 is 231441321.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123144099 and 123144108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22744 + ... + 27632.

It is an arithmetic number, because the mean of its divisors is an integer number (11980500).

Almost surely, 2123144132 is an apocalyptic number.

123144132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123144132 is an abundant number, since it is smaller than the sum of its proper divisors (164387868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123144132 is a wasteful number, since it uses less digits than its factorization.

123144132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6993 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 123144132 is about 11097.0325763242. The cubic root of 123144132 is about 497.5131611040.

Adding to 123144132 its reverse (231441321), we get a palindrome (354585453).

The spelling of 123144132 in words is "one hundred twenty-three million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 2099 4198 4889 6297 8396 9778 12594 14667 19556 25188 29334 58668 10262011 20524022 30786033 41048044 61572066 123144132