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110022101110212 = 22337390766919479
BaseRepresentation
bin11001000001000010000100…
…010000010000110111000100
3112102120000021101200111201120
4121001002010100100313010
5103410100230341011322
61025555242215153540
732113556142043314
oct3101020420206704
9472500241614646
10110022101110212
1132069124896435
121040b02b0758b0
134951069065375
141d251532c1444
15cabdd9b64a5c
hex641084410dc4

110022101110212 has 96 divisors (see below), whose sum is σ = 263791290577920. Its totient is φ = 35664616068480.

The previous prime is 110022101110193. The next prime is 110022101110223. The reversal of 110022101110212 is 212011101220011.

It is a happy number.

It is a super-3 number, since 3×1100221011102123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110022101110191 and 110022101110200.

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, 11606926489 + ... + 11606935967.

It is an arithmetic number, because the mean of its divisors is an integer number (2747825943520).

Almost surely, 2110022101110212 is an apocalyptic number.

110022101110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110022101110212 is an abundant number, since it is smaller than the sum of its proper divisors (153769189467708).

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

110022101110212 is a wasteful number, since it uses less digits than its factorization.

110022101110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20121 (or 20119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110022101110212 its reverse (212011101220011), we get a palindrome (322033202330223).

The spelling of 110022101110212 in words is "one hundred ten trillion, twenty-two billion, one hundred one million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 3907 6691 7814 9479 11721 13382 15628 18958 20073 23442 26764 28437 37916 40146 46884 56874 80292 113748 144559 247567 289118 350723 433677 495134 578236 701446 742701 867354 990268 1052169 1402892 1485402 1734708 2104338 2970804 4208676 26141737 37034453 52283474 63423989 74068906 78425211 104566948 111103359 126847978 148137812 156850422 190271967 222206718 253695956 313700844 380543934 444413436 761087868 967244269 1370274761 1934488538 2346687593 2740549522 2901732807 3868977076 4110824283 4693375186 5481099044 5803465614 7040062779 8221648566 9386750372 11606931228 14080125558 16443297132 28160251116 247797525023 495595050046 743392575069 991190100092 1486785150138 2973570300276 9168508425851 18337016851702 27505525277553 36674033703404 55011050555106 110022101110212