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110144412 = 223273711813
BaseRepresentation
bin1101001000010…
…10101110011100
321200020220201200
412210022232130
5211144110122
614532435500
72505132510
oct644125634
9250226650
10110144412
11571a0144
1230a78b90
1319a86011
14108b2140
159a0a5ac
hex690ab9c

110144412 has 72 divisors (see below), whose sum is σ = 326822496. Its totient is φ = 30616704.

The previous prime is 110144357. The next prime is 110144483. The reversal of 110144412 is 214441011.

110144412 is a `hidden beast` number, since 110 + 144 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3418 + ... + 15230.

Almost surely, 2110144412 is an apocalyptic number.

110144412 is a gapful number since it is divisible by the number (12) 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 110144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163411248).

110144412 is an abundant number, since it is smaller than the sum of its proper divisors (216678084).

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

110144412 is a wasteful number, since it uses less digits than its factorization.

110144412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11867 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 110144412 is about 10494.9707955763. The cubic root of 110144412 is about 479.3515723561.

Adding to 110144412 its reverse (214441011), we get a palindrome (324585423).

The spelling of 110144412 in words is "one hundred ten million, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 11813 23626 35439 47252 70878 82691 106317 141756 165382 212634 248073 330764 425268 437081 496146 744219 874162 992292 1311243 1488438 1748324 2622486 2976876 3059567 3933729 5244972 6119134 7867458 9178701 12238268 15734916 18357402 27536103 36714804 55072206 110144412