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132123312120 = 23352971534739
BaseRepresentation
bin111101100001100101…
…0011011111111111000
3110122000220022200021110
41323003022123333320
54131042031441440
6140410245040320
712355065423462
oct1730312337770
9418026280243
10132123312120
115104018aa38
12217339b60a0
13c5c7a65537
1465754a3132
153684483080
hex1ec329bff8

132123312120 has 128 divisors (see below), whose sum is σ = 415813824000. Its totient is φ = 33538767360.

The previous prime is 132123312119. The next prime is 132123312179. The reversal of 132123312120 is 21213321231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20290 + ... + 514449.

It is an arithmetic number, because the mean of its divisors is an integer number (3248545500).

Almost surely, 2132123312120 is an apocalyptic number.

132123312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132123312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207906912000).

132123312120 is an abundant number, since it is smaller than the sum of its proper divisors (283690511880).

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

132123312120 is a wasteful number, since it uses less digits than its factorization.

132123312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534853 (or 534849 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132123312120 its reverse (21213321231), we get a palindrome (153336633351).

The spelling of 132123312120 in words is "one hundred thirty-two billion, one hundred twenty-three million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 71 87 116 120 142 145 174 213 232 284 290 348 355 426 435 568 580 696 710 852 870 1065 1160 1420 1704 1740 2059 2130 2840 3480 4118 4260 6177 8236 8520 10295 12354 16472 20590 24708 30885 41180 49416 61770 82360 123540 247080 534739 1069478 1604217 2138956 2673695 3208434 4277912 5347390 6416868 8021085 10694780 12833736 15507431 16042170 21389560 31014862 32084340 37966469 46522293 62029724 64168680 75932938 77537155 93044586 113899407 124059448 151865876 155074310 186089172 189832345 227798814 232611465 303731752 310148620 372178344 379664690 455597628 465222930 569497035 620297240 759329380 911195256 930445860 1101027601 1138994070 1518658760 1860891720 2202055202 2277988140 3303082803 4404110404 4555976280 5505138005 6606165606 8808220808 11010276010 13212331212 16515414015 22020552020 26424662424 33030828030 44041104040 66061656060 132123312120