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123330132 = 22324183557
BaseRepresentation
bin1110101100111…
…01111001010100
322121001211010200
413112131321110
5223033031012
620123220500
73025201032
oct726357124
9277054120
10123330132
1163686832
1235377730
131c721913
1412545552
15ac623dc
hex759de54

123330132 has 36 divisors (see below), whose sum is σ = 319358676. Its totient is φ = 40106880.

The previous prime is 123330107. The next prime is 123330161. The reversal of 123330132 is 231033321.

It can be written as a sum of positive squares in 2 ways, for example, as 72692676 + 50637456 = 8526^2 + 7116^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40303 + ... + 43254.

Almost surely, 2123330132 is an apocalyptic number.

123330132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123330132 is an abundant number, since it is smaller than the sum of its proper divisors (196028544).

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

123330132 is a wasteful number, since it uses less digits than its factorization.

123330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83608 (or 83603 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 123330132 is about 11105.4100329524. The cubic root of 123330132 is about 497.7635205682.

Adding to 123330132 its reverse (231033321), we get a palindrome (354363453).

The spelling of 123330132 in words is "one hundred twenty-three million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 83557 167114 250671 334228 501342 752013 1002684 1504026 3008052 3425837 6851674 10277511 13703348 20555022 30832533 41110044 61665066 123330132