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200002200211121 = 72111970392774479
BaseRepresentation
bin101101011110011010100100…
…000110010000111010110001
3222020011000122012201100211012
4231132122210012100322301
5202203314001223223441
61545211424203400305
760061452652643300
oct5536324406207261
9866130565640735
10200002200211121
11587aa502a77550
121a521924223095
13877a185065659
14375622dd18437
15181c7b22ed9eb
hexb5e6a4190eb1

200002200211121 has 48 divisors (see below), whose sum is σ = 267202400256000. Its totient is φ = 147622427799840.

The previous prime is 200002200211117. The next prime is 200002200211169. The reversal of 200002200211121 is 121112002200002.

It is not a de Polignac number, because 200002200211121 - 22 = 200002200211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200002200211096 and 200002200211105.

It is not an unprimeable number, because it can be changed into a prime (200002200211721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 70699160 + ... + 73473638.

It is an arithmetic number, because the mean of its divisors is an integer number (5566716672000).

Almost surely, 2200002200211121 is an apocalyptic number.

It is an amenable number.

200002200211121 is a deficient number, since it is larger than the sum of its proper divisors (67200200044879).

200002200211121 is a wasteful number, since it uses less digits than its factorization.

200002200211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781562 (or 2781555 counting only the distinct ones).

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

Adding to 200002200211121 its reverse (121112002200002), we get a palindrome (321114202411123).

The spelling of 200002200211121 in words is "two hundred trillion, two billion, two hundred million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 11 19 49 77 133 209 539 931 1463 7039 10241 49273 77429 133741 344911 542003 936187 1471151 2774479 3794021 6553309 10298057 19421353 30519269 52715101 72086399 135949471 213634883 369005707 579866111 1495444181 2583039949 4059062777 19529557681 28413439439 136706903767 214825134491 371061595939 956948326369 1503775941437 2597431171573 4081677555329 10526431590059 18182018201011 28571742887303 200002200211121