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110212120 = 2352755303
BaseRepresentation
bin1101001000110…
…11010000011000
321200101100121101
412210123100120
5211203241440
614534121144
72505534064
oct644332030
9250340541
10110212120
1157236aa7
1230ab01b4
1319aaaa95
14108ccaa4
159a2069a
hex691b418

110212120 has 16 divisors (see below), whose sum is σ = 247977360. Its totient is φ = 44084832.

The previous prime is 110212117. The next prime is 110212121. The reversal of 110212120 is 21212011.

It is a super-2 number, since 2×1102121202 = 24293422789788800, which contains 22 as substring.

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 = 110212097 and 110212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1377612 + ... + 1377691.

It is an arithmetic number, because the mean of its divisors is an integer number (15498585).

Almost surely, 2110212120 is an apocalyptic number.

110212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212120 is an abundant number, since it is smaller than the sum of its proper divisors (137765240).

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

110212120 is a wasteful number, since it uses less digits than its factorization.

110212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755314 (or 2755310 counting only the distinct ones).

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

The square root of 110212120 is about 10498.1960355101. The cubic root of 110212120 is about 479.4497746086.

Adding to 110212120 its reverse (21212011), we get a palindrome (131424131).

The spelling of 110212120 in words is "one hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2755303 5510606 11021212 13776515 22042424 27553030 55106060 110212120