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132320022000 = 24353179123203
BaseRepresentation
bin111101100111011100…
…0110100110111110000
3110122112121110120111120
41323032320310313300
54131442411201000
6140441553142240
712363004425615
oct1731670646760
9418477416446
10132320022000
1151131225a91
122178985a980
13c62973a10a
14659366a50c
15369688c6a0
hex1ecee34df0

132320022000 has 160 divisors (see below), whose sum is σ = 428986471680. Its totient is φ = 35087929600.

The previous prime is 132320021989. The next prime is 132320022031. The reversal of 132320022000 is 220023231.

132320022000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012399 + ... + 1135601.

It is an arithmetic number, because the mean of its divisors is an integer number (2681165448).

Almost surely, 2132320022000 is an apocalyptic number.

132320022000 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 132320022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214493235840).

132320022000 is an abundant number, since it is smaller than the sum of its proper divisors (296666449680).

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

132320022000 is a wasteful number, since it uses less digits than its factorization.

132320022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123408 (or 123392 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 132320022000 its reverse (220023231), we get a palindrome (132540045231).

The spelling of 132320022000 in words is "one hundred thirty-two billion, three hundred twenty million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 179 200 240 250 300 358 375 400 500 537 600 716 750 895 1000 1074 1200 1432 1500 1790 2000 2148 2685 2864 3000 3580 4296 4475 5370 6000 7160 8592 8950 10740 13425 14320 17900 21480 22375 26850 35800 42960 44750 53700 67125 71600 89500 107400 123203 134250 179000 214800 246406 268500 358000 369609 492812 537000 616015 739218 985624 1074000 1232030 1478436 1848045 1971248 2464060 2956872 3080075 3696090 4928120 5913744 6160150 7392180 9240225 9856240 12320300 14784360 15400375 18480450 22053337 24640600 29568720 30800750 36960900 44106674 46201125 49281200 61601500 66160011 73921800 88213348 92402250 110266685 123203000 132320022 147843600 176426696 184804500 220533370 246406000 264640044 330800055 352853392 369609000 441066740 529280088 551333425 661600110 739218000 882133480 1058560176 1102666850 1323200220 1654000275 1764266960 2205333700 2646400440 2756667125 3308000550 4410667400 5292800880 5513334250 6616001100 8270001375 8821334800 11026668500 13232002200 16540002750 22053337000 26464004400 33080005500 44106674000 66160011000 132320022000