Search a number
-
+
2002200103120 = 24577351486377
BaseRepresentation
bin11101001000101100011…
…011010000100011010000
321002102000202201200001211
4131020230123100203100
5230301001211244440
64131444212505504
7264440246033620
oct35105433204320
97072022650054
102002200103120
11702145840928
1228405891b294
13116a64300939
146cc9ab56880
1537136219eea
hex1d22c6d08d0

2002200103120 has 80 divisors (see below), whose sum is σ = 5320866371328. Its totient is φ = 686373811200.

The previous prime is 2002200103103. The next prime is 2002200103133. The reversal of 2002200103120 is 213010022002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2002200103120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3873372 + ... + 4359748.

Almost surely, 22002200103120 is an apocalyptic number.

2002200103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002200103120 is an abundant number, since it is smaller than the sum of its proper divisors (3318666268208).

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

2002200103120 is a wasteful number, since it uses less digits than its factorization.

2002200103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493748 (or 493742 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2002200103120 its reverse (213010022002), we get a palindrome (2215210125122).

The spelling of 2002200103120 in words is "two trillion, two billion, two hundred million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7351 14702 29404 36755 51457 58808 73510 102914 117616 147020 205828 257285 294040 411656 486377 514570 588080 823312 972754 1029140 1945508 2058280 2431885 3404639 3891016 4116560 4863770 6809278 7782032 9727540 13618556 17023195 19455080 27237112 34046390 38910160 54474224 68092780 136185560 272371120 3575357327 7150714654 14301429308 17876786635 25027501289 28602858616 35753573270 50055002578 57205717232 71507146540 100110005156 125137506445 143014293080 200220010312 250275012890 286028586160 400440020624 500550025780 1001100051560 2002200103120