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132320223200 = 255211107140527
BaseRepresentation
bin111101100111011100…
…1100101111111100000
3110122112121211210111102
41323032321211333200
54131442434120300
6140442001333532
712363006224324
oct1731671457740
9418477753442
10132320223200
1151131353170
12217899372a8
13c6297aa879
1465936bd984
1536968cc0d5
hex1ecee65fe0

132320223200 has 144 divisors (see below), whose sum is σ = 355688734464. Its totient is φ = 47666419200.

The previous prime is 132320223179. The next prime is 132320223223. The reversal of 132320223200 is 2322023231.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871337 + ... + 1011863.

It is an arithmetic number, because the mean of its divisors is an integer number (2470060656).

Almost surely, 2132320223200 is an apocalyptic number.

132320223200 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 132320223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177844367232).

132320223200 is an abundant number, since it is smaller than the sum of its proper divisors (223368511264).

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

132320223200 is a wasteful number, since it uses less digits than its factorization.

132320223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140665 (or 140652 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 132320223200 its reverse (2322023231), we get a palindrome (134642246431).

The spelling of 132320223200 in words is "one hundred thirty-two billion, three hundred twenty million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 107 110 160 176 200 214 220 275 352 400 428 440 535 550 800 856 880 1070 1100 1177 1712 1760 2140 2200 2354 2675 3424 4280 4400 4708 5350 5885 8560 8800 9416 10700 11770 17120 18832 21400 23540 29425 37664 42800 47080 58850 85600 94160 117700 140527 188320 235400 281054 470800 562108 702635 941600 1124216 1405270 1545797 2248432 2810540 3091594 3513175 4496864 5621080 6183188 7026350 7728985 11242160 12366376 14052700 15036389 15457970 22484320 24732752 28105400 30072778 30915940 38644925 49465504 56210800 60145556 61831880 75181945 77289850 112421600 120291112 123663760 150363890 154579700 165400279 240582224 247327520 300727780 309159400 330800558 375909725 481164448 601455560 618318800 661601116 751819450 827001395 1202911120 1236637600 1323202232 1503638900 1654002790 2405822240 2646404464 3007277800 3308005580 4135006975 5292808928 6014555600 6616011160 8270013950 12029111200 13232022320 16540027900 26464044640 33080055800 66160111600 132320223200