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221010202201100 = 2252131670871017481
BaseRepresentation
bin110010010000000111110010…
…100110000000110000001100
31001222112100221222202111121012
4302100013302212000300030
5212432012343230413400
62102014404002424352
764360313561353124
oct6220076246006014
91058470858674535
10221010202201100
116446999a466a34
12209553116620b8
1396422323a3a20
143c80d45243c84
151a83eb118ad35
hexc901f2980c0c

221010202201100 has 72 divisors (see below), whose sum is σ = 516487440479808. Its totient is φ = 81603198374400.

The previous prime is 221010202201067. The next prime is 221010202201111. The reversal of 221010202201100 is 1102202010122.

It is a super-2 number, since 2×2210102022011002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216704360 + ... + 217721840.

Almost surely, 2221010202201100 is an apocalyptic number.

221010202201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010202201100 is an abundant number, since it is smaller than the sum of its proper divisors (295477238278708).

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

221010202201100 is a wasteful number, since it uses less digits than its factorization.

221010202201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184595 (or 1184588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221010202201100 its reverse (1102202010122), we get a palindrome (222112404211222).

The spelling of 221010202201100 in words is "two hundred twenty-one trillion, ten billion, two hundred two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 167087 334174 668348 835435 1017481 1670870 2034962 2172131 3341740 4069924 4177175 4344262 5087405 8354350 8688524 10174810 10860655 13227253 16708700 20349620 21721310 25437025 26454506 43442620 50874050 52909012 54303275 66136265 101748100 108606550 132272530 217213100 264545060 330681325 661362650 1322725300 170007847847 340015695694 680031391388 850039239235 1700078478470 2210102022011 3400156956940 4250196196175 4420204044022 8500392392350 8840408088044 11050510110055 17000784784700 22101020220110 44202040440220 55252550550275 110505101100550 221010202201100