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13323312662000 = 24531135005001
BaseRepresentation
bin1100000111100001001101…
…0100011000010111110000
31202011200210120022111020112
43001320103110120113300
53221242121020141000
644200351221000452
72543402052030455
oct301702324302760
952150716274215
1013323312662000
114277426729000
1215b2192553128
137584c9588383
14340bcd3a382c
15181883816235
hexc1e135185f0

13323312662000 has 160 divisors (see below), whose sum is σ = 35434933679808. Its totient is φ = 4844840000000.

The previous prime is 13323312661937. The next prime is 13323312662003. The reversal of 13323312662000 is 26621332331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323312662003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159500 + ... + 5164500.

Almost surely, 213323312662000 is an apocalyptic number.

13323312662000 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 13323312662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717466839904).

13323312662000 is an abundant number, since it is smaller than the sum of its proper divisors (22111621017808).

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

13323312662000 is an equidigital number, since it uses as much as digits as its factorization.

13323312662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005057 (or 5005019 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 13323312662000 its reverse (26621332331), we get a palindrome (13349933994331).

The spelling of 13323312662000 in words is "thirteen trillion, three hundred twenty-three billion, three hundred twelve million, six hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1331 1375 1936 2000 2200 2420 2662 2750 3025 4400 4840 5324 5500 6050 6655 9680 10648 11000 12100 13310 15125 21296 22000 24200 26620 30250 33275 48400 53240 60500 66550 106480 121000 133100 166375 242000 266200 332750 532400 665500 1331000 2662000 5005001 10010002 20020004 25025005 40040008 50050010 55055011 80080016 100100020 110110022 125125025 200200040 220220044 250250050 275275055 400400080 440440088 500500100 550550110 605605121 625625125 880880176 1001000200 1101100220 1211210242 1251250250 1376375275 2002000400 2202200440 2422420484 2502500500 2752750550 3028025605 4404400880 4844840968 5005001000 5505501100 6056051210 6661656331 6881876375 9689681936 10010002000 11011002200 12112102420 13323312662 13763752750 15140128025 22022004400 24224204840 26646625324 27527505500 30280256050 33308281655 48448409680 53293250648 55055011000 60560512100 66616563310 75700640125 106586501296 110110022000 121121024200 133233126620 151401280250 166541408275 242242048400 266466253240 302802560500 333082816550 532932506480 605605121000 666165633100 832707041375 1211210242000 1332331266200 1665414082750 2664662532400 3330828165500 6661656331000 13323312662000