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132325130344400 = 24527471005510109
BaseRepresentation
bin11110000101100101011000…
…011000111001011111010000
3122100112011021211221221012022
4132011211120120321133100
5114321003331332010100
61145233154202351012
736605114041430330
oct3605453030713720
9570464254857168
10132325130344400
1139187855408a84
1212a115b64bb468
1358ab28b18ab16
1424967db5870c0
1510471310a2e85
hex7859586397d0

132325130344400 has 120 divisors (see below), whose sum is σ = 371057362832640. Its totient is φ = 44403326369280.

The previous prime is 132325130344367. The next prime is 132325130344439. The reversal of 132325130344400 is 4443031523231.

It is a super-2 number, since 2×1323251303444002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 23 ways as a sum of consecutive naturals, for example, 502623455 + ... + 502886654.

It is an arithmetic number, because the mean of its divisors is an integer number (3092144690272).

Almost surely, 2132325130344400 is an apocalyptic number.

132325130344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132325130344400 is an abundant number, since it is smaller than the sum of its proper divisors (238732232488240).

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

132325130344400 is a wasteful number, since it uses less digits than its factorization.

132325130344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005510181 (or 1005510170 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 132325130344400 its reverse (4443031523231), we get a palindrome (136768161867631).

The spelling of 132325130344400 in words is "one hundred thirty-two trillion, three hundred twenty-five billion, one hundred thirty million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 47 50 56 70 80 94 100 112 140 175 188 200 235 280 329 350 376 400 470 560 658 700 752 940 1175 1316 1400 1645 1880 2350 2632 2800 3290 3760 4700 5264 6580 8225 9400 13160 16450 18800 26320 32900 65800 131600 1005510109 2011020218 4022040436 5027550545 7038570763 8044080872 10055101090 14077141526 16088161744 20110202180 25137752725 28154283052 35192853815 40220404360 47258975123 50275505450 56308566104 70385707630 80440808720 94517950246 100551010900 112617132208 140771415260 175964269075 189035900492 201102021800 236294875615 281542830520 330812825861 351928538150 378071800984 402204043600 472589751230 563085661040 661625651722 703857076300 756143601968 945179502460 1181474378075 1323251303444 1407714152600 1654064129305 1890359004920 2362948756150 2646502606888 2815428305200 3308128258610 3780718009840 4725897512300 5293005213776 6616256517220 8270320646525 9451795024600 13232513034440 16540641293050 18903590049200 26465026068880 33081282586100 66162565172200 132325130344400