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132112103222000 = 24531148011250801
BaseRepresentation
bin11110000010011110111110…
…111110111010101011110000
3122022202210102121211212022002
4132002132332332322223300
5114304011041411101000
61144551243512033132
736553533034653536
oct3602367676725360
9568683377755262
10132112103222000
1139105479127a20
12129982640927a8
13589416bc919c5
14248a38d2ba156
1510418141208d5
hex7827befbaaf0

132112103222000 has 160 divisors (see below), whose sum is σ = 348560573070528. Its totient is φ = 48030720000000.

The previous prime is 132112103221997. The next prime is 132112103222053. The reversal of 132112103222000 is 222301211231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104996600 + ... + 106247400.

Almost surely, 2132112103222000 is an apocalyptic number.

132112103222000 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 132112103222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174280286535264).

132112103222000 is an abundant number, since it is smaller than the sum of its proper divisors (216448469848528).

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

132112103222000 is a wasteful number, since it uses less digits than its factorization.

132112103222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255636 (or 1255620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132112103222000 its reverse (222301211231), we get a palindrome (132334404433231).

The spelling of 132112103222000 in words is "one hundred thirty-two trillion, one hundred twelve billion, one hundred three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 4801 5500 9602 11000 19204 22000 24005 38408 48010 52811 76816 96020 105622 120025 192040 211244 240050 264055 384080 422488 480100 528110 600125 844976 960200 1056220 1200250 1250801 1320275 1920400 2112440 2400500 2501602 2640550 4224880 4801000 5003204 5281100 6254005 6601375 9602000 10006408 10562200 12508010 13202750 13758811 20012816 21124400 25016020 26405500 27517622 31270025 50032040 52811000 55035244 62540050 68794055 100064080 105622000 110070488 125080100 137588110 156350125 220140976 250160200 275176220 312700250 343970275 500320400 550352440 625400500 687940550 1100704880 1250801000 1375881100 1719851375 2501602000 2751762200 3439702750 5503524400 6005095601 6879405500 12010191202 13758811000 24020382404 27517622000 30025478005 48040764808 60050956010 66056051611 96081529616 120101912020 132112103222 150127390025 240203824040 264224206444 300254780050 330280258055 480407648080 528448412888 600509560100 660560516110 750636950125 1056896825776 1201019120200 1321121032220 1501273900250 1651401290275 2402038240400 2642242064440 3002547800500 3302802580550 5284484128880 6005095601000 6605605161100 8257006451375 12010191202000 13211210322200 16514012902750 26422420644400 33028025805500 66056051611000 132112103222000