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200200110210 = 23255370959197
BaseRepresentation
bin1011101001110011011…
…0110100000010000010
3201010202021211100002200
42322130312310002002
511240002212011320
6231545355054030
720315100600462
oct2723466640202
9633667740080
10200200110210
11779a4819a41
1232972741316
1315b56914699
1499928d1ba2
15531ad01290
hex2e9cdb4082

200200110210 has 96 divisors (see below), whose sum is σ = 531098408880. Its totient is φ = 52304638464.

The previous prime is 200200110167. The next prime is 200200110259. The reversal of 200200110210 is 12011002002.

It can be written as a sum of positive squares in 8 ways, for example, as 57400013889 + 142800096321 = 239583^2 + 377889^2 .

It is a super-2 number, since 2×2002001102102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200200110192 and 200200110201.

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 47 ways as a sum of consecutive naturals, for example, 3352332 + ... + 3411528.

Almost surely, 2200200110210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265549204440).

200200110210 is an abundant number, since it is smaller than the sum of its proper divisors (330898298670).

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

200200110210 is a wasteful number, since it uses less digits than its factorization.

200200110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59972 (or 59969 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200200110210 its reverse (12011002002), we get a palindrome (212211112212).

The spelling of 200200110210 in words is "two hundred billion, two hundred million, one hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 709 795 954 1418 1590 2127 2385 3545 4254 4770 6381 7090 10635 12762 21270 31905 37577 59197 63810 75154 112731 118394 177591 187885 225462 295985 338193 355182 375770 532773 563655 591970 676386 887955 1065546 1127310 1690965 1775910 2663865 3137441 3381930 5327730 6274882 9412323 15687205 18824646 28236969 31374410 41970673 47061615 56473938 83941346 94123230 125912019 141184845 209853365 251824038 282369690 377736057 419706730 629560095 755472114 1259120190 1888680285 2224445669 3777360570 4448891338 6673337007 11122228345 13346674014 20020011021 22244456690 33366685035 40040022042 66733370070 100100055105 200200110210