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110121220 = 225111313821
BaseRepresentation
bin1101001000001…
…01000100000100
321200012201220201
412210011010010
5211142334340
614532140244
72505005056
oct644050404
9250181821
10110121220
1157184780
1230a67684
1319a785b1
14108a78d6
159a0379a
hex6905104

110121220 has 48 divisors (see below), whose sum is σ = 254270016. Its totient is φ = 39728000.

The previous prime is 110121211. The next prime is 110121233. The reversal of 110121220 is 22121011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110121197 and 110121206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26910 + ... + 30730.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 2110121220 is an apocalyptic number.

110121220 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 110121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127135008).

110121220 is an abundant number, since it is smaller than the sum of its proper divisors (144148796).

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

110121220 is a wasteful number, since it uses less digits than its factorization.

110121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 110121220 is about 10493.8658272345. The cubic root of 110121220 is about 479.3179259161.

Adding to 110121220 its reverse (22121011), we get a palindrome (132242231).

The spelling of 110121220 in words is "one hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 3821 5764 7205 7642 14410 15284 19105 28820 38210 42031 76420 84062 168124 210155 420310 500551 840620 1001102 2002204 2502755 5005510 5506061 10011020 11012122 22024244 27530305 55060610 110121220