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221102120220212 = 227115032164765929
BaseRepresentation
bin110010010001011101011001…
…010101011011011000110100
31001222212011012220201200022102
4302101131121111123120310
5212440014120234021322
62102124524540521232
764400046440545130
oct6221353125333064
91058764186650272
10221102120220212
11644a4978820190
122096b0a4850218
13964aac069844a
143c85584b7a3c0
151a86590ad4792
hexc9175955b634

221102120220212 has 96 divisors (see below), whose sum is σ = 483393342136320. Its totient is φ = 85967147877120.

The previous prime is 221102120219983. The next prime is 221102120220251. The reversal of 221102120220212 is 212022021201122.

221102120220212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211021202202122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3353606864 + ... + 3353672792.

It is an arithmetic number, because the mean of its divisors is an integer number (5035347313920).

Almost surely, 2221102120220212 is an apocalyptic number.

221102120220212 is a gapful number since it is divisible by the number (22) 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 221102120220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241696671068160).

221102120220212 is an abundant number, since it is smaller than the sum of its proper divisors (262291221916108).

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

221102120220212 is a wasteful number, since it uses less digits than its factorization.

221102120220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88101 (or 88099 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221102120220212 its reverse (212022021201122), we get a palindrome (433124141421334).

The spelling of 221102120220212 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 503 1006 2012 3521 5533 7042 11066 14084 21647 22132 38731 43294 65929 77462 86588 131858 151529 154924 238117 263716 303058 461503 476234 606116 725219 923006 952468 1450438 1666819 1846012 2900876 3333638 5076533 6667276 10153066 10888441 20306132 21776882 33162287 43553764 66324574 76219087 119772851 132649148 152438174 232136009 239545702 304876348 364785157 464272018 479091404 729570314 838409957 928544036 1427165063 1459140628 1676819914 2553496099 2854330126 3353639828 5106992198 5708660252 9990155441 10213984396 15698815693 19980310882 31397631386 39960621764 62795262772 109891709851 219783419702 439566839404 717864026689 1435728053378 2871456106756 5025048186823 7896504293579 10050096373646 15793008587158 20100192747292 31586017174316 55275530055053 110551060110106 221102120220212