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211002200200 = 235211409234499
BaseRepresentation
bin1100010010000010110…
…1100001000010001000
3202011122002212100211201
43010200231201002020
511424113030401300
6240533313233544
721146555052301
oct3044055410210
9664562770751
10211002200200
1181538272040
1234a882628b4
1316b888370cc
14a2d93a57a8
15574e2ea66a
hex3120b61088

211002200200 has 96 divisors (see below), whose sum is σ = 536489100000. Its totient is φ = 76540147200.

The previous prime is 211002200141. The next prime is 211002200203. The reversal of 211002200200 is 2002200112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211002200203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782551 + ... + 1017049.

It is an arithmetic number, because the mean of its divisors is an integer number (5588428125).

Almost surely, 2211002200200 is an apocalyptic number.

211002200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211002200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268244550000).

211002200200 is an abundant number, since it is smaller than the sum of its proper divisors (325486899800).

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

211002200200 is a wasteful number, since it uses less digits than its factorization.

211002200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234935 (or 234926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 211002200200 its reverse (2002200112), we get a palindrome (213004400312).

The spelling of 211002200200 in words is "two hundred eleven billion, two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 409 440 550 818 1100 1636 2045 2200 3272 4090 4499 8180 8998 10225 16360 17996 20450 22495 35992 40900 44990 81800 89980 112475 179960 224950 234499 449900 468998 899800 937996 1172495 1875992 2344990 2579489 4689980 5158978 5862475 9379960 10317956 11724950 12897445 20635912 23449900 25794890 46899800 51589780 64487225 95910091 103179560 128974450 191820182 257948900 383640364 479550455 515897800 767280728 959100910 1055011001 1918201820 2110022002 2397752275 3836403640 4220044004 4795504550 5275055005 8440088008 9591009100 10550110010 19182018200 21100220020 26375275025 42200440040 52750550050 105501100100 211002200200