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132120102103200 = 25325218350014181
BaseRepresentation
bin11110000010100110011011…
…110000001110100010100000
3122022210120002002011010111100
4132002212123300032202200
5114304123432114300300
61144555045331514400
736554235203224101
oct3602463360164240
9568716062133440
10132120102103200
1139108903300842
1212999916a58a00
135894b452027c3
14248a90b7723a8
151041b31499700
hex78299bc0e8a0

132120102103200 has 108 divisors (see below), whose sum is σ = 465888510066798. Its totient is φ = 35232027225600.

The previous prime is 132120102103141. The next prime is 132120102103219. The reversal of 132120102103200 is 2301201021231.

132120102103200 is a `hidden beast` number, since 1 + 3 + 2 + 120 + 10 + 210 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 93673207394064 + 38446894709136 = 9678492^2 + 6200556^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9174999891 + ... + 9175014290.

Almost surely, 2132120102103200 is an apocalyptic number.

132120102103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120102103200 is an abundant number, since it is smaller than the sum of its proper divisors (333768407963598).

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

132120102103200 is a wasteful number, since it uses less digits than its factorization.

132120102103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18350014207 (or 18350014191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132120102103200 its reverse (2301201021231), we get a palindrome (134421303124431).

The spelling of 132120102103200 in words is "one hundred thirty-two trillion, one hundred twenty billion, one hundred two million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 18350014181 36700028362 55050042543 73400056724 91750070905 110100085086 146800113448 165150127629 183500141810 220200170172 275250212715 293600226896 330300255258 367000283620 440400340344 458750354525 550500425430 587200453792 660600510516 734000567240 825750638145 880800680688 917500709050 1101000850860 1321201021032 1376251063575 1468001134480 1651501276290 1761601361376 1835001418100 2202001701720 2642402042064 2752502127150 2936002268960 3303002552580 3670002836200 4128753190725 4404003403440 5284804084128 5505004254300 6606005105160 7340005672400 8257506381450 8808006806880 11010008508600 13212010210320 14680011344800 16515012762900 22020017017200 26424020420640 33030025525800 44040034034400 66060051051600 132120102103200