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132512032320 = 26351011366667
BaseRepresentation
bin111101101101001010…
…1010010011001000000
3110200000222202201010220
41323122111102121000
54132341040013240
6140513012423040
712400525455513
oct1733225223100
9420028681126
10132512032320
115121a6511a8
1221822017a80
13c65a4578a5
1465b0d6cd7a
1536a86695d0
hex1eda552640

132512032320 has 112 divisors (see below), whose sum is σ = 424891614528. Its totient is φ = 34986649600.

The previous prime is 132512032273. The next prime is 132512032333. The reversal of 132512032320 is 23230215231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 586374 + ... + 780293.

Almost surely, 2132512032320 is an apocalyptic number.

132512032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132512032320 is an abundant number, since it is smaller than the sum of its proper divisors (292379582208).

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

132512032320 is a wasteful number, since it uses less digits than its factorization.

132512032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366788 (or 1366778 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 132512032320 its reverse (23230215231), we get a palindrome (155742247551).

The spelling of 132512032320 in words is "one hundred thirty-two billion, five hundred twelve million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 6464 8080 9696 12120 16160 19392 24240 32320 48480 96960 1366667 2733334 4100001 5466668 6833335 8200002 10933336 13666670 16400004 20500005 21866672 27333340 32800008 41000010 43733344 54666680 65600016 82000020 87466688 109333360 131200032 138033367 164000040 218666720 262400064 276066734 328000080 414100101 437333440 552133468 656000160 690166835 828200202 1104266936 1312000320 1380333670 1656400404 2070500505 2208533872 2760667340 3312800808 4141001010 4417067744 5521334680 6625601616 8282002020 8834135488 11042669360 13251203232 16564004040 22085338720 26502406464 33128008080 44170677440 66256016160 132512032320