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10002200100200 = 2352711649493513
BaseRepresentation
bin1001000110001101000110…
…0101010111110101101000
31022102012102112002220220222
42101203101211113311220
52302334001211201300
633134540340505212
72051430562031510
oct221432145276550
938365375086828
1010002200100200
113206a00221950
1211565b06ab208
13577284bc3669
142681753d4840
151252a817e785
hex918d1957d68

10002200100200 has 96 divisors (see below), whose sum is σ = 28993390464960. Its totient is φ = 3117568857600.

The previous prime is 10002200100173. The next prime is 10002200100241. The reversal of 10002200100200 is 200100220001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 324731357 + ... + 324762156.

It is an arithmetic number, because the mean of its divisors is an integer number (302014484010).

Almost surely, 210002200100200 is an apocalyptic number.

10002200100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002200100200 is an abundant number, since it is smaller than the sum of its proper divisors (18991190364760).

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

10002200100200 is a wasteful number, since it uses less digits than its factorization.

10002200100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649493547 (or 649493538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10002200100200 its reverse (200100220001), we get a palindrome (10202300320201).

The spelling of 10002200100200 in words is "ten trillion, two billion, two hundred million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 649493513 1298987026 2597974052 3247467565 4546454591 5195948104 6494935130 7144428643 9092909182 12989870260 14288857286 16237337825 18185818364 22732272955 25979740520 28577714572 32474675650 35722143215 36371636728 45464545910 50011000501 57155429144 64949351300 71444286430 90929091820 100022001002 113661364775 129898702600 142888572860 178610716075 181858183640 200044002004 227322729550 250055002505 285777145720 357221432150 400088004008 454645459100 500110005010 714442864300 909290918200 1000220010020 1250275012525 1428885728600 2000440020040 2500550025050 5001100050100 10002200100200