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22102100211112 = 23233171107510049
BaseRepresentation
bin1010000011010000010111…
…10101001111010110101000
32220020221101100212110220021
411001220023311033112220
510344110100123223422
6115001321545010224
74440552435011635
oct501501365172650
986227340773807
1022102100211112
1170514a2406689
12258b650783974
13c442b04ba7bc
14565a66a7118c
15284dd6657dc7
hex141a0bd4f5a8

22102100211112 has 128 divisors (see below), whose sum is σ = 45690034176000. Its totient is φ = 9991228262400.

The previous prime is 22102100211109. The next prime is 22102100211131. The reversal of 22102100211112 is 21111200120122.

It is a super-2 number, since 2×221021002111122 (a number of 27 digits) contains 22 as substring.

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, 43078264 + ... + 43588312.

It is an arithmetic number, because the mean of its divisors is an integer number (356953392000).

Almost surely, 222102100211112 is an apocalyptic number.

It is an amenable number.

22102100211112 is an abundant number, since it is smaller than the sum of its proper divisors (23587933964888).

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

22102100211112 is a wasteful number, since it uses less digits than its factorization.

22102100211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510287 (or 510283 counting only the distinct ones).

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

Adding to 22102100211112 its reverse (21111200120122), we get a palindrome (43213300331234).

The spelling of 22102100211112 in words is "twenty-two trillion, one hundred two billion, one hundred million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 23 31 46 62 71 92 107 124 142 184 214 248 284 428 568 713 856 1426 1633 2201 2461 2852 3266 3317 4402 4922 5704 6532 6634 7597 8804 9844 13064 13268 15194 17608 19688 26536 30388 50623 60776 76291 101246 152582 174731 202492 235507 305164 349462 404984 471014 510049 610328 698924 942028 1020098 1397848 1884056 2040196 4080392 5416661 10833322 11731127 15811519 21666644 23462254 31623038 36213479 43333288 46924508 54575243 63246076 72426958 93849016 109150486 126492152 144853916 218300972 289707832 363664937 436601944 727329874 832910017 1122617849 1255230589 1454659748 1665820034 1691832533 2245235698 2510461178 2909319496 3331640068 3383665066 3874842253 4490471396 5020922356 6663280136 6767330132 7749684506 8980942792 10041844712 13534660264 15499369012 25820210527 30998738024 38912148259 51640421054 77824296518 89121371819 103280842108 120120109843 155648593036 178242743638 206561684216 240240219686 311297186072 356485487276 480480439372 712970974552 960960878744 2762762526389 5525525052778 11051050105556 22102100211112