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211003320200 = 235223181253427
BaseRepresentation
bin1100010010000011000…
…1110010011110001000
3202011122011222021012012
43010200301302132020
511424113322221300
6240533353235052
721146600425511
oct3044061623610
9664564867165
10211003320200
1181538967562
1234a88702a88
1316b88b39b2a
14a2d95b7a08
15574e46c435
hex3120c72788

211003320200 has 96 divisors (see below), whose sum is σ = 514742679360. Its totient is φ = 80285356800.

The previous prime is 211003320161. The next prime is 211003320259. The reversal of 211003320200 is 2023300112.

It is a happy number.

It is a super-2 number, since 2×2110033202002 (a number of 23 digits) contains 22 as substring.

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, 705887 + ... + 959313.

It is an arithmetic number, because the mean of its divisors is an integer number (5361902910).

Almost surely, 2211003320200 is an apocalyptic number.

211003320200 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 211003320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257371339680).

211003320200 is an abundant number, since it is smaller than the sum of its proper divisors (303739359160).

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

211003320200 is a wasteful number, since it uses less digits than its factorization.

211003320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253647 (or 253638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 211003320200 its reverse (2023300112), we get a palindrome (213026620312).

The spelling of 211003320200 in words is "two hundred eleven billion, three million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 181 184 200 230 362 460 575 724 905 920 1150 1448 1810 2300 3620 4163 4525 4600 7240 8326 9050 16652 18100 20815 33304 36200 41630 83260 104075 166520 208150 253427 416300 506854 832600 1013708 1267135 2027416 2534270 5068540 5828821 6335675 10137080 11657642 12671350 23315284 25342700 29144105 45870287 46630568 50685400 58288210 91740574 116576420 145720525 183481148 229351435 233152840 291441050 366962296 458702870 582882100 917405740 1055016601 1146757175 1165764200 1834811480 2110033202 2293514350 4220066404 4587028700 5275083005 8440132808 9174057400 10550166010 21100332020 26375415025 42200664040 52750830050 105501660100 211003320200