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211242310200 = 233252405728927
BaseRepresentation
bin1100010010111100000…
…1011101101000111000
3202012020211200012211200
43010233001131220320
511430111012411300
6241013211454200
721155532003405
oct3045701355070
9665224605750
10211242310200
1181650860259
1234b34757360
1316bc64c602c
14a31d2292ac
155765429200
hex312f05da38

211242310200 has 144 divisors (see below), whose sum is σ = 709621486080. Its totient is φ = 56315450880.

The previous prime is 211242310193. The next prime is 211242310211. The reversal of 211242310200 is 2013242112.

It is a happy number.

211242310200 is a `hidden beast` number, since 2 + 112 + 42 + 310 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7288137 + ... + 7317063.

Almost surely, 2211242310200 is an apocalyptic number.

211242310200 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 211242310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354810743040).

211242310200 is an abundant number, since it is smaller than the sum of its proper divisors (498379175880).

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

211242310200 is a wasteful number, since it uses less digits than its factorization.

211242310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33006 (or 32994 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211242310200 its reverse (2013242112), we get a palindrome (213255552312).

The spelling of 211242310200 in words is "two hundred eleven billion, two hundred forty-two million, three hundred ten 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 90 100 120 150 180 200 225 300 360 450 600 900 1800 4057 8114 12171 16228 20285 24342 28927 32456 36513 40570 48684 57854 60855 73026 81140 86781 97368 101425 115708 121710 144635 146052 162280 173562 182565 202850 231416 243420 260343 289270 292104 304275 347124 365130 405700 433905 486840 520686 578540 608550 694248 723175 730260 811400 867810 912825 1041372 1157080 1217100 1301715 1446350 1460520 1735620 1825650 2082744 2169525 2434200 2603430 2892700 3471240 3651300 4339050 5206860 5785400 6508575 7302600 8678100 10413720 13017150 17356200 26034300 52068600 117356839 234713678 352070517 469427356 586784195 704141034 938854712 1056211551 1173568390 1408282068 1760352585 2112423102 2347136780 2816564136 2933920975 3520705170 4224846204 4694273560 5281057755 5867841950 7041410340 8449692408 8801762925 10562115510 11735683900 14082820680 17603525850 21124231020 23471367800 26405288775 35207051700 42248462040 52810577550 70414103400 105621155100 211242310200