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221222101210000 = 2454112011110011
BaseRepresentation
bin110010010011001101001000…
…110000100101001110010000
31002000021121220121010110200221
4302103031020300211032100
5212444000330402210000
62102300010313522424
764411524616253152
oct6223151060451620
91060247817113627
10221222101210000
1164540847980690
122098a3aa113414
139659201957a67
143c8b2c7774ad2
151a8976408261a
hexc93348c25390

221222101210000 has 100 divisors (see below), whose sum is σ = 584291814006384. Its totient is φ = 80444400400000.

The previous prime is 221222101209979. The next prime is 221222101210009. The reversal of 221222101210000 is 12101222122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221222101210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1005445006 + ... + 1005665005.

Almost surely, 2221222101210000 is an apocalyptic number.

221222101210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222101210000 is an abundant number, since it is smaller than the sum of its proper divisors (363069712796384).

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

221222101210000 is a wasteful number, since it uses less digits than its factorization.

221222101210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011110050 (or 2011110029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221222101210000 its reverse (12101222122), we get a palindrome (221234202432122).

The spelling of 221222101210000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 2011110011 4022220022 8044440044 10055550055 16088880088 20111100110 22122210121 32177760176 40222200220 44244420242 50277750275 80444400440 88488840484 100555500550 110611050605 160888800880 176977680968 201111001100 221222101210 251388751375 353955361936 402222002200 442444202420 502777502750 553055253025 804444004400 884888404840 1005555005500 1106110506050 1256943756875 1769776809680 2011110011000 2212221012100 2513887513750 2765276265125 4022220022000 4424442024200 5027775027500 5530552530250 8848884048400 10055550055000 11061105060500 13826381325625 20111100110000 22122210121000 27652762651250 44244420242000 55305525302500 110611050605000 221222101210000