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221102022100212 = 2232112944249435107
BaseRepresentation
bin110010010001011101010011…
…011111001000010011110100
31001222212010222002002122222100
4302101131103133020103310
5212440013420124201322
62102124511113502100
764400044136543031
oct6221352337102364
91058763862078870
10221102022100212
11644a49283a3180
122096b077a11930
13964aaa6262586
143c85575b18388
151a865871a1dac
hexc917537c84f4

221102022100212 has 144 divisors (see below), whose sum is σ = 630745610040000. Its totient is φ = 64688636167680.

The previous prime is 221102022100199. The next prime is 221102022100213. The reversal of 221102022100212 is 212001220201122.

It is a happy number.

221102022100212 is a `hidden beast` number, since 2 + 211 + 0 + 20 + 221 + 0 + 0 + 212 = 666.

221102022100212 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 2×2211020221002122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102022100213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507937963 + ... + 508373069.

It is an arithmetic number, because the mean of its divisors is an integer number (4380177847500).

Almost surely, 2221102022100212 is an apocalyptic number.

221102022100212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221102022100212 is an abundant number, since it is smaller than the sum of its proper divisors (409643587939788).

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

221102022100212 is a wasteful number, since it uses less digits than its factorization.

221102022100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479406 (or 479401 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221102022100212 its reverse (212001220201122), we get a palindrome (433103242301334).

The spelling of 221102022100212 in words is "two hundred twenty-one trillion, one hundred two billion, twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 44249 88498 132747 176996 265494 398241 435107 486739 530988 796482 870214 973478 1283221 1305321 1460217 1592964 1740428 1946956 2566442 2610642 2920434 3849663 3915963 4380651 4786177 5132884 5221284 5840868 7699326 7831926 8761302 9572354 11548989 12618103 14115431 14358531 15398652 15663852 17522604 19144708 23097978 25236206 28230862 28717062 37854309 42346293 43075593 46195956 50472412 56461724 57434124 75708618 84692586 86151186 113562927 127038879 138799133 151417236 169385172 172302372 227125854 254077758 277598266 416397399 454251708 508155516 555196532 832794798 1249192197 1665589596 2498384394 4996768788 19253049643 38506099286 57759148929 77012198572 115518297858 173277446787 211783546073 231036595716 346554893574 423567092146 558338439647 635350638219 693109787148 847134184292 1116676879294 1270701276438 1675015318941 1906051914657 2233353758588 2541402552876 3350030637882 3812103829314 5025045956823 6141722836117 6700061275764 7624207658628 10050091913646 12283445672234 18425168508351 20100183827292 24566891344468 36850337016702 55275505525053 73700674033404 110551011050106 221102022100212