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132520323004200 = 233252646911380801
BaseRepresentation
bin11110001000011011001010…
…110001110011011100101000
3122101012211010011101102200200
4132020123022301303130220
5114332203110142113300
61145502555042432200
736625164066603255
oct3610331261633450
9571184104342620
10132520323004200
113925260a5a134a
1212a433b0062660
1358c37c75356a1
1424a2036dd842c
15104c25747a200
hex7886cac73728

132520323004200 has 144 divisors (see below), whose sum is σ = 445116254142300. Its totient is φ = 35333286912000.

The previous prime is 132520323004171. The next prime is 132520323004211. The reversal of 132520323004200 is 2400323025231.

132520323004200 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 0 + 3 + 230 + 0 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1463756380164 + 131056566624036 = 1209858^2 + 11447994^2 .

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 35 ways as a sum of consecutive naturals, for example, 5953800 + ... + 17334600.

Almost surely, 2132520323004200 is an apocalyptic number.

132520323004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132520323004200 is an abundant number, since it is smaller than the sum of its proper divisors (312595931138100).

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

132520323004200 is a wasteful number, since it uses less digits than its factorization.

132520323004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11387292 (or 11387280 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 132520323004200 its reverse (2400323025231), we get a palindrome (134920646029431).

The spelling of 132520323004200 in words is "one hundred thirty-two trillion, five hundred twenty billion, three hundred twenty-three million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6469 12938 19407 25876 32345 38814 51752 58221 64690 77628 97035 116442 129380 155256 161725 194070 232884 258760 291105 323450 388140 465768 485175 582210 646900 776280 970350 1164420 1293800 1455525 1940700 2328840 2911050 3881400 5822100 11380801 11644200 22761602 34142403 45523204 56904005 68284806 91046408 102427209 113808010 136569612 170712015 204854418 227616020 273139224 284520025 341424030 409708836 455232040 512136045 569040050 682848060 819417672 853560075 1024272090 1138080100 1365696120 1707120150 2048544180 2276160200 2560680225 3414240300 4097088360 5121360450 6828480600 10242720900 20485441800 73622401669 147244803338 220867205007 294489606676 368112008345 441734410014 588979213352 662601615021 736224016690 883468820028 1104336025035 1325203230042 1472448033380 1766937640056 1840560041725 2208672050070 2650406460084 2944896066760 3313008075105 3681120083450 4417344100140 5300812920168 5521680125175 6626016150210 7362240166900 8834688200280 11043360250350 13252032300420 14724480333800 16565040375525 22086720500700 26504064600840 33130080751050 44173441001400 66260161502100 132520323004200