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211000202000 = 2453747320669
BaseRepresentation
bin1100010010000010010…
…1111001001100010000
3202011121222002211211022
43010200211321030100
511424112022431000
6240533202335012
721146532060530
oct3044045711420
9664558084738
10211000202000
1181537127835
1234a8765a468
1316b882b7743
14a2d90054c0
15574e053585
hex3120979310

211000202000 has 160 divisors (see below), whose sum is σ = 595491886080. Its totient is φ = 70803494400.

The previous prime is 211000201961. The next prime is 211000202051. The reversal of 211000202000 is 202000112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497666 + ... + 818334.

It is an arithmetic number, because the mean of its divisors is an integer number (3721824288).

Almost surely, 2211000202000 is an apocalyptic number.

211000202000 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 211000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297745943040).

211000202000 is an abundant number, since it is smaller than the sum of its proper divisors (384491684080).

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

211000202000 is a wasteful number, since it uses less digits than its factorization.

211000202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320746 (or 320730 counting only the distinct ones).

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

Adding to 211000202000 its reverse (202000112), we get a palindrome (211202202112).

The spelling of 211000202000 in words is "two hundred eleven billion, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 47 50 56 70 80 94 100 112 125 140 175 188 200 235 250 280 329 350 376 400 470 500 560 658 700 752 875 940 1000 1175 1316 1400 1645 1750 1880 2000 2350 2632 2800 3290 3500 3760 4700 5264 5875 6580 7000 8225 9400 11750 13160 14000 16450 18800 23500 26320 32900 41125 47000 65800 82250 94000 131600 164500 320669 329000 641338 658000 1282676 1603345 2244683 2565352 3206690 4489366 5130704 6413380 8016725 8978732 11223415 12826760 15071443 16033450 17957464 22446830 25653520 30142886 32066900 35914928 40083625 44893660 56117075 60285772 64133800 75357215 80167250 89787320 105500101 112234150 120571544 128267600 150714430 160334500 179574640 211000202 224468300 241143088 280585375 301428860 320669000 376786075 422000404 448936600 527500505 561170750 602857720 641338000 753572150 844000808 897873200 1055001010 1122341500 1205715440 1507144300 1688001616 1883930375 2110002020 2244683000 2637502525 3014288600 3767860750 4220004040 4489366000 5275005050 6028577200 7535721500 8440008080 10550010100 13187512625 15071443000 21100020200 26375025250 30142886000 42200040400 52750050500 105500101000 211000202000