Search a number
-
+
211100020200 = 233252311377099
BaseRepresentation
bin1100010010011010001…
…0101010110111101000
3202011212220221010122200
43010212202222313220
511424313101121300
6240551130020200
721152153364636
oct3044642526750
9664786833580
10211100020200
1181588504713
1234ab4b77660
1316ba2b96574
14a30838a356
155757bbe200
hex31268aade8

211100020200 has 144 divisors (see below), whose sum is σ = 711225684000. Its totient is φ = 56112182400.

The previous prime is 211100020169. The next prime is 211100020207. The reversal of 211100020200 is 2020001112.

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

It is not an unprimeable number, because it can be changed into a prime (211100020207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371251 + ... + 748349.

It is an arithmetic number, because the mean of its divisors is an integer number (4939067250).

Almost surely, 2211100020200 is an apocalyptic number.

211100020200 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 211100020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355612842000).

211100020200 is an abundant number, since it is smaller than the sum of its proper divisors (500125663800).

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

211100020200 is a wasteful number, since it uses less digits than its factorization.

211100020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377432 (or 377420 counting only the distinct ones).

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

Adding to 211100020200 its reverse (2020001112), we get a palindrome (213120021312).

The spelling of 211100020200 in words is "two hundred eleven billion, one hundred million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 311 360 450 600 622 900 933 1244 1555 1800 1866 2488 2799 3110 3732 4665 5598 6220 7464 7775 9330 11196 12440 13995 15550 18660 22392 23325 27990 31100 37320 46650 55980 62200 69975 93300 111960 139950 186600 279900 377099 559800 754198 1131297 1508396 1885495 2262594 3016792 3393891 3770990 4525188 5656485 6787782 7541980 9050376 9427475 11312970 13575564 15083960 16969455 18854950 22625940 27151128 28282425 33938910 37709900 45251880 56564850 67877820 75419800 84847275 113129700 117277789 135755640 169694550 226259400 234555578 339389100 351833367 469111156 586388945 678778200 703666734 938222312 1055500101 1172777890 1407333468 1759166835 2111000202 2345555780 2814666936 2931944725 3518333670 4222000404 4691111560 5277500505 5863889450 7036667340 8444000808 8795834175 10555001010 11727778900 14073334680 17591668350 21110002020 23455557800 26387502525 35183336700 42220004040 52775005050 70366673400 105550010100 211100020200