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110120985 = 33513173691
BaseRepresentation
bin1101001000001…
…01000000011001
321200012201121000
412210011000121
5211142332420
614532135213
72505004302
oct644050031
9250181530
10110120985
1157184587
1230a67509
1319a78460
14108a77a9
159a03690
hex6905019

110120985 has 64 divisors (see below), whose sum is σ = 223292160. Its totient is φ = 51010560.

The previous prime is 110120977. The next prime is 110121031. The reversal of 110120985 is 589021011.

It is not a de Polignac number, because 110120985 - 23 = 110120977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27990 + ... + 31680.

It is an arithmetic number, because the mean of its divisors is an integer number (3488940).

Almost surely, 2110120985 is an apocalyptic number.

110120985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110120985 is an abundant number, since it is smaller than the sum of its proper divisors (113171175).

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

110120985 is a wasteful number, since it uses less digits than its factorization.

110120985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 110120985 is about 10493.8546302110. The cubic root of 110120985 is about 479.3175849592.

Adding to 110120985 its reverse (589021011), we get a palindrome (699141996).

The spelling of 110120985 in words is "one hundred ten million, one hundred twenty thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 85 117 135 153 195 221 255 351 459 585 663 765 1105 1755 1989 2295 3315 3691 5967 9945 11073 18455 29835 33219 47983 55365 62747 99657 143949 166095 188241 239915 313735 431847 498285 564723 719745 815711 941205 1295541 1694169 2159235 2447133 2823615 4078555 6477705 7341399 8470845 12235665 22024197 36706995 110120985