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110022220040 = 235194315712143
BaseRepresentation
bin110011001110111010…
…1011101100100001000
3101111222122012212112112
41212131311131210020
53300311142020130
6122313222001452
710643311303625
oct1463565354410
9344878185475
10110022220040
1142729747387
12193a6276288
13a4b4ca9965
14547a12934c
152cde036495
hex199dd5d908

110022220040 has 128 divisors (see below), whose sum is σ = 266933145600. Its totient is φ = 40678122240.

The previous prime is 110022220039. The next prime is 110022220081. The reversal of 110022220040 is 40022220011.

It is a junction number, because it is equal to n+sod(n) for n = 110022219997 and 110022220024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51339209 + ... + 51341351.

It is an arithmetic number, because the mean of its divisors is an integer number (2085415200).

Almost surely, 2110022220040 is an apocalyptic number.

110022220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110022220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133466572800).

110022220040 is an abundant number, since it is smaller than the sum of its proper divisors (156910925560).

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

110022220040 is a wasteful number, since it uses less digits than its factorization.

110022220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 110022220040 its reverse (40022220011), we get a palindrome (150044440051).

The spelling of 110022220040 in words is "one hundred ten billion, twenty-two million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1571 1634 1720 2143 3142 3268 4085 4286 6284 6536 7855 8170 8572 10715 12568 15710 16340 17144 21430 29849 31420 32680 40717 42860 59698 62840 67553 81434 85720 92149 119396 135106 149245 162868 184298 203585 238792 270212 298490 325736 337765 368596 407170 460745 540424 596980 675530 737192 814340 921490 1193960 1283507 1351060 1628680 1750831 1842980 2567014 2702120 3366653 3501662 3685960 5134028 6417535 6733306 7003324 8754155 10268056 12835070 13466612 14006648 16833265 17508310 25670140 26933224 33666530 35016620 51340280 63966407 67333060 70033240 127932814 134666120 144766079 255865628 289532158 319832035 511731256 579064316 639664070 723830395 1158128632 1279328140 1447660790 2558656280 2750555501 2895321580 5501111002 5790643160 11002222004 13752777505 22004444008 27505555010 55011110020 110022220040