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2002201221300 = 2235274322172771
BaseRepresentation
bin11101001000101100011…
…111100001100010110100
321002102000211211110220220
4131020230133201202310
5230301002003040200
64131444252454340
7264440261401620
oct35105437414264
97072024743826
102002201221300
11702146434a45
1228405917a3b0
13116a64602897
146cc9ad68180
153713638b4a0
hex1d22c7e18b4

2002201221300 has 144 divisors (see below), whose sum is σ = 6774580065792. Its totient is φ = 447003043200.

The previous prime is 2002201221247. The next prime is 2002201221341. The reversal of 2002201221300 is 31221022002.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2002201221300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10996086 + ... + 11176685.

Almost surely, 22002201221300 is an apocalyptic number.

2002201221300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002201221300 is an abundant number, since it is smaller than the sum of its proper divisors (4772378844492).

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

2002201221300 is a wasteful number, since it uses less digits than its factorization.

2002201221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22172838 (or 22172831 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2002201221300 its reverse (31221022002), we get a palindrome (2033422243302).

The spelling of 2002201221300 in words is "two trillion, two billion, two hundred one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 15050 18060 22575 30100 45150 90300 22172771 44345542 66518313 88691084 110863855 133036626 155209397 221727710 266073252 310418794 332591565 443455420 465628191 554319275 620837588 665183130 776046985 931256382 953429153 1108638550 1330366260 1552093970 1662957825 1862512764 1906858306 2217277100 2328140955 2860287459 3104187940 3325915650 3813716612 3880234925 4656281910 4767145765 5720574918 6651831300 6674004071 7760469850 9312563820 9534291530 11441149836 11640704775 13348008142 14301437295 15520939700 19068583060 20022012213 23281409550 23835728825 26696016284 28602874590 33370020355 40044024426 46562819100 47671457650 57205749180 66740040710 71507186475 80088048852 95342915300 100110061065 133480081420 143014372950 166850101775 200220122130 286028745900 333700203550 400440244260 500550305325 667400407100 1001100610650 2002201221300