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132113014200 = 23335224465373
BaseRepresentation
bin111101100001010001…
…1001001110110111000
3110122000011221111012000
41323002203021312320
54131031412423300
6140405240221000
712354612043416
oct1730243116670
9418004844160
10132113014200
1151035396a62
122173046a760
13c5c589b1ab
146573d822b6
1536835ebc00
hex1ec28c9db8

132113014200 has 96 divisors (see below), whose sum is σ = 455055956400. Its totient is φ = 35230135680.

The previous prime is 132113014177. The next prime is 132113014217. The reversal of 132113014200 is 2410311231.

132113014200 is a `hidden beast` number, since 1 + 3 + 211 + 30 + 1 + 420 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12227287 + ... + 12238086.

Almost surely, 2132113014200 is an apocalyptic number.

132113014200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113014200 is an abundant number, since it is smaller than the sum of its proper divisors (322942942200).

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

132113014200 is a wasteful number, since it uses less digits than its factorization.

132113014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24465398 (or 24465383 counting only the distinct ones).

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

Adding to 132113014200 its reverse (2410311231), we get a palindrome (134523325431).

The spelling of 132113014200 in words is "one hundred thirty-two billion, one hundred thirteen million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 24465373 48930746 73396119 97861492 122326865 146792238 195722984 220188357 244653730 293584476 366980595 440376714 489307460 587168952 611634325 660565071 733961190 880753428 978614920 1100941785 1223268650 1321130142 1467922380 1761506856 1834902975 2201883570 2446537300 2642260284 2935844760 3302825355 3669805950 4403767140 4893074600 5284520568 5504708925 6605650710 7339611900 8807534280 11009417850 13211301420 14679223800 16514126775 22018835700 26422602840 33028253550 44037671400 66056507100 132113014200