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110223220120 = 235137117317257
BaseRepresentation
bin110011010100111010…
…0001101110110011000
3101112111122102201210221
41212221310031312120
53301214121020440
6122345202045424
710651301624656
oct1465164156630
9345448381727
10110223220120
1142822152752
1219441649874
13a517824210
145498acbdd6
152d019dbd4a
hex19a9d0dd98

110223220120 has 128 divisors (see below), whose sum is σ = 272422362240. Its totient is φ = 39890350080.

The previous prime is 110223220103. The next prime is 110223220243. The reversal of 110223220120 is 21022322011.

It is a happy number.

It is a super-3 number, since 3×1102232201203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110223220094 and 110223220103.

It is a congruent number.

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, 6378532 + ... + 6395788.

It is an arithmetic number, because the mean of its divisors is an integer number (2128299705).

Almost surely, 2110223220120 is an apocalyptic number.

110223220120 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 110223220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136211181120).

110223220120 is an abundant number, since it is smaller than the sum of its proper divisors (162199142120).

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

110223220120 is a wasteful number, since it uses less digits than its factorization.

110223220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17525 (or 17521 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110223220120 its reverse (21022322011), we get a palindrome (131245542131).

The spelling of 110223220120 in words is "one hundred ten billion, two hundred twenty-three million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 173 260 284 346 355 520 568 692 710 865 923 1384 1420 1730 1846 2249 2840 3460 3692 4498 4615 6920 7384 8996 9230 11245 12283 17257 17992 18460 22490 24566 34514 36920 44980 49132 61415 69028 86285 89960 98264 122830 138056 159679 172570 224341 245660 319358 345140 448682 491320 638716 690280 798395 897364 1121705 1225247 1277432 1596790 1794728 2243410 2450494 2985461 3193580 4486820 4900988 5970922 6126235 6387160 8973640 9801976 11941844 12252470 14927305 15928211 23883688 24504940 29854610 31856422 38810993 49009880 59709220 63712844 77621986 79641055 119418440 127425688 155243972 159282110 194054965 211967731 310487944 318564220 388109930 423935462 637128440 776219860 847870924 1059838655 1552439720 1695741848 2119677310 2755580503 4239354620 5511161006 8478709240 11022322012 13777902515 22044644024 27555805030 55111610060 110223220120