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212202111210100 = 2252111657211164071
BaseRepresentation
bin110000001111111100100111…
…011101011001001001110100
31000211100022201222121102122221
4300033330213131121021310
5210303204410432210400
62031152145404132124
762461045064300524
oct6017744735311164
91024308658542587
10212202111210100
1161683456753790
121b972235837044
13915375b4b207b
143a588cbc4b684
15197ece5962c1a
hexc0ff27759274

212202111210100 has 72 divisors (see below), whose sum is σ = 502343733318336. Its totient is φ = 77163872160000.

The previous prime is 212202111210083. The next prime is 212202111210137. The reversal of 212202111210100 is 1012111202212.

It is a congruent number.

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, 181711065 + ... + 182875135.

It is an arithmetic number, because the mean of its divisors is an integer number (6976996296088).

Almost surely, 2212202111210100 is an apocalyptic number.

212202111210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202111210100 is an abundant number, since it is smaller than the sum of its proper divisors (290141622108236).

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

212202111210100 is a wasteful number, since it uses less digits than its factorization.

212202111210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329817 (or 1329810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212202111210100 its reverse (1012111202212), we get a palindrome (213214222412312).

The spelling of 212202111210100 in words is "two hundred twelve trillion, two hundred two billion, one hundred eleven million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 165721 331442 662884 828605 1164071 1657210 1822931 2328142 3314420 3645862 4143025 4656284 5820355 7291724 8286050 9114655 11640710 12804781 16572100 18229310 23281420 25609562 29101775 36458620 45573275 51219124 58203550 64023905 91146550 116407100 128047810 182293100 256095620 320119525 640239050 1280478100 192911010191 385822020382 771644040764 964555050955 1929110101910 2122021112101 3858220203820 4244042224202 4822775254775 8488084448404 9645550509550 10610105560505 19291101019100 21220211121010 42440422242020 53050527802525 106101055605050 212202111210100