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120110220 = 223256110939
BaseRepresentation
bin1110010100010…
…11110010001100
322101000020020200
413022023302030
5221222011340
615530213500
72655630366
oct712136214
9271006220
10120110220
116188764a
1234284290
131bb65149
1411d47d36
15a828330
hex728bc8c

120110220 has 72 divisors (see below), whose sum is σ = 370340880. Its totient is φ = 31501440.

The previous prime is 120110201. The next prime is 120110293. The reversal of 120110220 is 22011021.

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 23 ways as a sum of consecutive naturals, for example, 5511 + ... + 16449.

Almost surely, 2120110220 is an apocalyptic number.

120110220 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 120110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185170440).

120110220 is an abundant number, since it is smaller than the sum of its proper divisors (250230660).

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

120110220 is a wasteful number, since it uses less digits than its factorization.

120110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120110220 is about 10959.4808271195. The cubic root of 120110220 is about 493.3933830401.

Adding to 120110220 its reverse (22011021), we get a palindrome (142121241).

The spelling of 120110220 in words is "one hundred twenty million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10939 10980 21878 32817 43756 54695 65634 98451 109390 131268 164085 196902 218780 328170 393804 492255 656340 667279 984510 1334558 1969020 2001837 2669116 3336395 4003674 6005511 6672790 8007348 10009185 12011022 13345580 20018370 24022044 30027555 40036740 60055110 120110220