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2002121110220 = 22571110911927327
BaseRepresentation
bin11101001000100111101…
…101111011001011001100
321002101211021002102011212
4131020213231323023030
5230300321001011340
64131432311433552
7264435266433620
oct35104755731314
97071737072155
102002121110220
11702105198340
122840363858b8
13116a50b33a8a
146cc90473180
153712e314a65
hex1d227b7b2cc

2002121110220 has 96 divisors (see below), whose sum is σ = 5290008514560. Its totient is φ = 618312579840.

The previous prime is 2002121110211. The next prime is 2002121110261. The reversal of 2002121110220 is 220111212002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2002121110195 and 2002121110204.

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 31 ways as a sum of consecutive naturals, for example, 5795804 + ... + 6131523.

It is an arithmetic number, because the mean of its divisors is an integer number (55104255360).

Almost surely, 22002121110220 is an apocalyptic number.

2002121110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002121110220 is an abundant number, since it is smaller than the sum of its proper divisors (3287887404340).

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

2002121110220 is a wasteful number, since it uses less digits than its factorization.

2002121110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11927463 (or 11927461 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2002121110220 its reverse (220111212002), we get a palindrome (2222232322222).

The spelling of 2002121110220 in words is "two trillion, two billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 109 110 140 154 218 220 308 385 436 545 763 770 1090 1199 1526 1540 2180 2398 3052 3815 4796 5995 7630 8393 11990 15260 16786 23980 33572 41965 83930 167860 11927327 23854654 47709308 59636635 83491289 119273270 131200597 166982578 238546540 262401194 333965156 417456445 524802388 656002985 834912890 918404179 1300078643 1312005970 1669825780 1836808358 2600157286 2624011940 3673616716 4592020895 5200314572 6500393215 9100550501 9184041790 13000786430 14300865073 18201101002 18368083580 26001572860 28601730146 36402202004 45502752505 57203460292 71504325365 91005505010 100106055511 143008650730 182011010020 200212111022 286017301460 400424222044 500530277555 1001060555110 2002121110220