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10110110220 = 2232573163753
BaseRepresentation
bin10010110101001110…
…00000101000001100
3222002120221210221200
421122213000220030
5131201142011340
64351114425500
7505352343000
oct113247005014
928076853850
1010110110220
1143189914a1
121b61a32290
13c51760a52
146bca26700
153e28ad330
hex25a9c0a0c

10110110220 has 144 divisors (see below), whose sum is σ = 35763873600. Its totient is φ = 2310868224.

The previous prime is 10110110203. The next prime is 10110110233. The reversal of 10110110220 is 2201101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20137 + ... + 143616.

Almost surely, 210110110220 is an apocalyptic number.

10110110220 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 10110110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881936800).

10110110220 is an abundant number, since it is smaller than the sum of its proper divisors (25653763380).

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

10110110220 is a wasteful number, since it uses less digits than its factorization.

10110110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163789 (or 163770 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110110220 its reverse (2201101101), we get a palindrome (12311211321).

The spelling of 10110110220 in words is "ten billion, one hundred ten million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740 163753 327506 491259 655012 818765 982518 1146271 1473777 1637530 1965036 2292542 2456295 2947554 3275060 3438813 4585084 4912590 5731355 5895108 6877626 7368885 8023897 9825180 10316439 11462710 13755252 14737770 16047794 17194065 20632878 22925420 24071691 29475540 32095588 34388130 40119485 41265756 48143382 51582195 56167279 68776260 72215073 80238970 96286764 103164390 112334558 120358455 144430146 160477940 168501837 206328780 224669116 240716910 280836395 288860292 337003674 361075365 481433820 505505511 561672790 674007348 722150730 842509185 1011011022 1123345580 1444301460 1685018370 2022022044 2527527555 3370036740 5055055110 10110110220