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132312321003300 = 223522915208312759
BaseRepresentation
bin11110000101011001011100…
…111001001000111100100100
3122100110221020010220222120120
4132011121130321020330210
5114320301113134101200
61145223235142001540
736604151442013464
oct3605313471107444
9570427203828516
10132312321003300
1139182381916469
1212a0b0207162b0
1358a9cc9452749
142495d4428bba4
151046b317629a0
hex78565ce48f24

132312321003300 has 72 divisors (see below), whose sum is σ = 396024464270400. Its totient is φ = 34066620577920.

The previous prime is 132312321003259. The next prime is 132312321003311. The reversal of 132312321003300 is 3300123213231.

It is a super-2 number, since 2×1323123210033002 (a number of 29 digits) contains 22 as substring.

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, 7604147680 + ... + 7604165079.

Almost surely, 2132312321003300 is an apocalyptic number.

132312321003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132312321003300 is an abundant number, since it is smaller than the sum of its proper divisors (263712143267100).

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

132312321003300 is a wasteful number, since it uses less digits than its factorization.

132312321003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208312805 (or 15208312798 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132312321003300 its reverse (3300123213231), we get a palindrome (135612444216531).

The spelling of 132312321003300 in words is "one hundred thirty-two trillion, three hundred twelve billion, three hundred twenty-one million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 15208312759 30416625518 45624938277 60833251036 76041563795 91249876554 152083127590 182499753108 228124691385 304166255180 380207818975 441041070011 456249382770 760415637950 882082140022 912498765540 1140623456925 1323123210033 1520831275900 1764164280044 2205205350055 2281246913850 2646246420066 4410410700110 4562493827700 5292492840132 6615616050165 8820821400220 11026026750275 13231232100330 22052053500550 26462464200660 33078080250825 44104107001100 66156160501650 132312321003300