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1002200100200 = 2352132316759199
BaseRepresentation
bin11101001010101111100…
…01111110110101101000
310112210212001022002120122
432211113301332311220
5112410001211201300
62044223202142412
7132256311203225
oct16452761766550
93483761262518
101002200100200
11357037913822
12142296951a08
1373679033990
143671470c94c
151b1099a2c85
hexe957c7ed68

1002200100200 has 96 divisors (see below), whose sum is σ = 2618457408000. Its totient is φ = 353954261760.

The previous prime is 1002200100127. The next prime is 1002200100211. The reversal of 1002200100200 is 20010022001.

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, 8319800 + ... + 8439399.

It is an arithmetic number, because the mean of its divisors is an integer number (27275598000).

Almost surely, 21002200100200 is an apocalyptic number.

1002200100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002200100200 is an abundant number, since it is smaller than the sum of its proper divisors (1616257307800).

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

1002200100200 is a wasteful number, since it uses less digits than its factorization.

1002200100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16759251 (or 16759242 counting only the distinct ones).

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

Adding to 1002200100200 its reverse (20010022001), we get a palindrome (1022210122201).

The spelling of 1002200100200 in words is "one trillion, two billion, two hundred million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 575 598 650 920 1150 1196 1300 1495 2300 2392 2600 2990 4600 5980 7475 11960 14950 29900 59800 16759199 33518398 67036796 83795995 134073592 167591990 217869587 335183980 385461577 418979975 435739174 670367960 770923154 837959950 871478348 1089347935 1541846308 1675919900 1742956696 1927307885 2178695870 3083692616 3351839800 3854615770 4357391740 5011000501 5446739675 7709231540 8714783480 9636539425 10022001002 10893479350 15418463080 19273078850 20044002004 21786958700 25055002505 38546157700 40088004008 43573917400 50110005010 77092315400 100220010020 125275012525 200440020040 250550025050 501100050100 1002200100200