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132133301032200 = 233521316940166799
BaseRepresentation
bin11110000010110010101110…
…011110001001010100001000
3122022211211010221021012020120
4132002302232132021110020
5114304333000031012300
61145005111150423240
736555213243245466
oct3602625636112410
9568754127235216
10132133301032200
11391134667a7526
12129a039b201b20
135896169875170
14248b4006c1836
1510421550e33a0
hex782cae789508

132133301032200 has 96 divisors (see below), whose sum is σ = 441121943472000. Its totient is φ = 32525120252160.

The previous prime is 132133301032157. The next prime is 132133301032273. The reversal of 132133301032200 is 2230103331231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8470075600 + ... + 8470091199.

It is an arithmetic number, because the mean of its divisors is an integer number (4595020244500).

Almost surely, 2132133301032200 is an apocalyptic number.

132133301032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133301032200 is an abundant number, since it is smaller than the sum of its proper divisors (308988642439800).

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

132133301032200 is a wasteful number, since it uses less digits than its factorization.

132133301032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16940166831 (or 16940166822 counting only the distinct ones).

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

Adding to 132133301032200 its reverse (2230103331231), we get a palindrome (134363404363431).

The spelling of 132133301032200 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, three hundred one million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 16940166799 33880333598 50820500397 67760667196 84700833995 101641000794 135521334392 169401667990 203282001588 220222168387 254102501985 338803335980 406564003176 423504169975 440444336774 508205003970 660666505161 677606671960 847008339950 880888673548 1016410007940 1101110841935 1270512509925 1321333010322 1694016679900 1761777347096 2032820015880 2202221683870 2541025019850 2642666020644 3303332525805 3388033359800 4404443367740 5082050039700 5285332041288 5505554209675 6606665051610 8808886735480 10164100079400 11011108419350 13213330103220 16516662629025 22022216838700 26426660206440 33033325258050 44044433677400 66066650516100 132133301032200