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110120220 = 223257175397
BaseRepresentation
bin1101001000001…
…00110100011100
321200012200112200
412210010310130
5211142321340
614532131500
72505002130
oct644046434
9250180480
10110120220
1157183a51
1230a66b90
1319a77cc2
14108a73c0
159a03330
hex6904d1c

110120220 has 288 divisors, whose sum is σ = 416078208. Its totient is φ = 23003136.

The previous prime is 110120207. The next prime is 110120239. The reversal of 110120220 is 22021011.

110120220 is a nontrivial binomial coefficient, being equal to C(14841, 2).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1135212 + ... + 1135308.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2110120220 is an apocalyptic number.

110120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110120220 is the 14840-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104).

110120220 is an abundant number, since it is smaller than the sum of its proper divisors (305957988).

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

110120220 is a wasteful number, since it uses less digits than its factorization.

110120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

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

The square root of 110120220 is about 10493.8181802431. The cubic root of 110120220 is about 479.3164750321.

Adding to 110120220 its reverse (22021011), we get a palindrome (132141231).

It can be divided in two parts, 1101 and 20220, that added together give a triangular number (21321 = T206).

The spelling of 110120220 in words is "one hundred ten million, one hundred twenty thousand, two hundred twenty".