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123144112 = 24713831019
BaseRepresentation
bin1110101011100…
…00011110110000
322120201100222001
413111300132300
5223011102422
620115223344
73023464510
oct725603660
9276640861
10123144112
1163569aa3
12352a7b54
131c688050
14124d7840
15ac27227
hex75707b0

123144112 has 80 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 48082176.

The previous prime is 123144101. The next prime is 123144143. The reversal of 123144112 is 211441321.

It is a self number, because there is not a number n which added to its sum of digits gives 123144112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120339 + ... + 121357.

It is an arithmetic number, because the mean of its divisors is an integer number (3718512).

Almost surely, 2123144112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

123144112 is an abundant number, since it is smaller than the sum of its proper divisors (174336848).

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

123144112 is a wasteful number, since it uses less digits than its factorization.

123144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 123144112 is about 11097.0316751823. The cubic root of 123144112 is about 497.5131341701.

Adding to 123144112 its reverse (211441321), we get a palindrome (334585433).

It can be divided in two parts, 123144 and 112, that added together give a triangular number (123256 = T496).

The spelling of 123144112 in words is "one hundred twenty-three million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 166 182 208 332 364 581 664 728 1019 1079 1162 1328 1456 2038 2158 2324 4076 4316 4648 7133 7553 8152 8632 9296 13247 14266 15106 16304 17264 26494 28532 30212 52988 57064 60424 84577 92729 105976 114128 120848 169154 185458 211952 338308 370916 592039 676616 741832 1099501 1184078 1353232 1483664 2199002 2368156 4398004 4736312 7696507 8796008 9472624 15393014 17592016 30786028 61572056 123144112