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110213120 = 211547229
BaseRepresentation
bin1101001000110…
…11100000000000
321200101101222102
412210123200000
5211203304440
614534125532
72505540023
oct644334000
9250341872
10110213120
1157237826
1230ab08a8
1319aab384
14108cd1ba
159a20b15
hex691b800

110213120 has 96 divisors (see below), whose sum is σ = 271252800. Its totient is φ = 42958848.

The previous prime is 110213101. The next prime is 110213123. The reversal of 110213120 is 21312011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110213123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481166 + ... + 481394.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2110213120 is an apocalyptic number.

110213120 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 110213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135626400).

110213120 is an abundant number, since it is smaller than the sum of its proper divisors (161039680).

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

110213120 is an equidigital number, since it uses as much as digits as its factorization.

110213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 110213120 is about 10498.2436626323. The cubic root of 110213120 is about 479.4512246861.

Adding to 110213120 its reverse (21312011), we get a palindrome (131525131).

It can be divided in two parts, 11021 and 3120, that added together give a palindrome (14141).

The spelling of 110213120 in words is "one hundred ten million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 229 235 256 320 376 458 470 512 640 752 916 940 1024 1145 1280 1504 1832 1880 2048 2290 2560 3008 3664 3760 4580 5120 6016 7328 7520 9160 10240 10763 12032 14656 15040 18320 21526 24064 29312 30080 36640 43052 48128 53815 58624 60160 73280 86104 96256 107630 117248 120320 146560 172208 215260 234496 240640 293120 344416 430520 468992 481280 586240 688832 861040 1172480 1377664 1722080 2344960 2755328 3444160 5510656 6888320 11021312 13776640 22042624 27553280 55106560 110213120