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110100220121112 = 233131766131403873
BaseRepresentation
bin11001000010001010110100…
…100000101001000000011000
3112102211110220122101102202120
4121002022310200221000120
5103412340222322333422
61030055202020501240
732122323043504554
oct3102126440510030
9472743818342676
10110100220121112
1132099271a51571
12104221b0b4a820
134958538591780
141d28c44300864
15cade5ce2d45c
hex6422b4829018

110100220121112 has 128 divisors (see below), whose sum is σ = 314335192570560. Its totient is φ = 31835989278720.

The previous prime is 110100220121081. The next prime is 110100220121119. The reversal of 110100220121112 is 211121022001011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110100220121091 and 110100220121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100220121119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12195993 + ... + 19207880.

Almost surely, 2110100220121112 is an apocalyptic number.

110100220121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110100220121112 is an abundant number, since it is smaller than the sum of its proper divisors (204234972449448).

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

110100220121112 is a wasteful number, since it uses less digits than its factorization.

110100220121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31404573 (or 31404569 counting only the distinct ones).

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

Adding to 110100220121112 its reverse (211121022001011), we get a palindrome (321221242122123).

The spelling of 110100220121112 in words is "one hundred ten trillion, one hundred billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 661 663 884 1322 1326 1768 1983 2644 2652 3966 5288 5304 7932 8593 11237 15864 17186 22474 25779 33711 34372 44948 51558 67422 68744 89896 103116 134844 146081 206232 269688 292162 438243 584324 876486 1168648 1752972 3505944 31403873 62807746 94211619 125615492 188423238 251230984 376846476 408250349 533865841 753692952 816500698 1067731682 1224751047 1601597523 1633001396 2135463364 2449502094 3203195046 3266002792 4270926728 4899004188 6406390092 6940255933 9798008376 12812780184 13880511866 20757960053 20820767799 27761023732 41515920106 41641535598 55522047464 62273880159 83031840212 83283071196 124547760318 166063680424 166566142392 249095520636 269853480689 352885320901 498191041272 539706961378 705770641802 809560442067 1058655962703 1079413922756 1411541283604 1619120884134 2117311925406 2158827845512 2823082567208 3238241768268 4234623850812 4587509171713 6476483536536 8469247701624 9175018343426 13762527515139 18350036686852 27525055030278 36700073373704 55050110060556 110100220121112