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2200131033200 = 245216342977853
BaseRepresentation
bin100000000001000010000…
…001110101100001110000
321210022220220200201012222
4200001002001311201300
5242021332021030300
64402420511340212
7314645204135042
oct40010201654160
97708826621188
102200131033200
1177908567a191
122b6497521668
1312c618a71389
14786b611da92
153c36cbd6785
hex20042075870

2200131033200 has 120 divisors (see below), whose sum is σ = 5320158165168. Its totient is φ = 874338416640.

The previous prime is 2200131033169. The next prime is 2200131033257. The reversal of 2200131033200 is 23301310022.

It is a congruent number.

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, 280160474 + ... + 280168326.

Almost surely, 22200131033200 is an apocalyptic number.

2200131033200 is a gapful number since it is divisible by the number (20) 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 2200131033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660079082584).

2200131033200 is an abundant number, since it is smaller than the sum of its proper divisors (3120027131968).

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

2200131033200 is a wasteful number, since it uses less digits than its factorization.

2200131033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12331 (or 12320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2200131033200 its reverse (23301310022), we get a palindrome (2223432343222).

The spelling of 2200131033200 in words is "two trillion, two hundred billion, one hundred thirty-one million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 163 200 326 400 652 815 1304 1630 2608 3260 4075 4297 6520 7853 8150 8594 13040 15706 16300 17188 21485 31412 32600 34376 39265 42970 62824 65200 68752 78530 85940 107425 125648 157060 171880 196325 214850 314120 343760 392650 429700 628240 700411 785300 859400 1280039 1400822 1570600 1718800 2560078 2801644 3141200 3502055 5120156 5603288 6400195 7004110 10240312 11206576 12800390 14008220 17510275 20480624 25600780 28016440 32000975 33744341 35020550 51201560 56032880 64001950 67488682 70041100 102403120 128003900 134977364 140082200 168721705 256007800 269954728 280164400 337443410 512015600 539909456 674886820 843608525 1349773640 1687217050 2699547280 3374434100 5500327583 6748868200 11000655166 13497736400 22001310332 27501637915 44002620664 55003275830 88005241328 110006551660 137508189575 220013103320 275016379150 440026206640 550032758300 1100065516600 2200131033200