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110022122112 = 2737172407697
BaseRepresentation
bin110011001110111010…
…1000101101010000000
3101111222122000220012120
41212131311011222000
53300311130401422
6122313215524240
710643310415260
oct1463565055200
9344878026176
10110022122112
114272968a851
12193a6229680
13a4b4c74206
14547a1017a0
152cde01745c
hex199dd45a80

110022122112 has 128 divisors (see below), whose sum is σ = 353642682240. Its totient is φ = 29585768448.

The previous prime is 110022122099. The next prime is 110022122131. The reversal of 110022122112 is 211221220011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 110022122091 and 110022122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158153 + ... + 1249544.

It is an arithmetic number, because the mean of its divisors is an integer number (2762833455).

Almost surely, 2110022122112 is an apocalyptic number.

110022122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110022122112 is an abundant number, since it is smaller than the sum of its proper divisors (243620560128).

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

110022122112 is a wasteful number, since it uses less digits than its factorization.

110022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407738 (or 2407726 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110022122112 its reverse (211221220011), we get a palindrome (321243342123).

The spelling of 110022122112 in words is "one hundred ten billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 2407697 4815394 7223091 9630788 14446182 16853879 19261576 28892364 33707758 38523152 40930849 50561637 57784728 67415516 77046304 81861698 101123274 115569456 122792547 134831032 154092608 163723396 202246548 231138912 245585094 269662064 286515943 308185216 327446792 404493096 462277824 491170188 539324128 573031886 654893584 808986192 859547829 924555648 982340376 1078648256 1146063772 1309787168 1617972384 1719095658 1964680752 2157296512 2292127544 2619574336 3235944768 3438191316 3929361504 4584255088 5239148672 6471889536 6876382632 7858723008 9168510176 13752765264 15717446016 18337020352 27505530528 36674040704 55011061056 110022122112