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110441124 = 223323173257
BaseRepresentation
bin1101001010100…
…11001010100100
321200210222202000
412211103022210
5211233103444
614543045300
72510506533
oct645231244
9250728660
10110441124
1157383062
1230ba0830
1319b5b0a1
141094c31a
159a68469
hex69532a4

110441124 has 96 divisors (see below), whose sum is σ = 301674240. Its totient is φ = 34873344.

The previous prime is 110441113. The next prime is 110441137. The reversal of 110441124 is 421144011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110441097 and 110441106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429604 + ... + 429860.

It is an arithmetic number, because the mean of its divisors is an integer number (3142440).

Almost surely, 2110441124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110441124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150837120).

110441124 is an abundant number, since it is smaller than the sum of its proper divisors (191233116).

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

110441124 is a wasteful number, since it uses less digits than its factorization.

110441124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

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

The square root of 110441124 is about 10509.0972019484. The cubic root of 110441124 is about 479.7816194107.

Adding to 110441124 its reverse (421144011), we get a palindrome (531585135).

The spelling of 110441124 in words is "one hundred ten million, four hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 173 207 257 276 346 414 514 519 621 692 771 828 1028 1038 1242 1542 1557 2076 2313 2484 3084 3114 3979 4626 4671 5911 6228 6939 7958 9252 9342 11822 11937 13878 15916 17733 18684 23644 23874 27756 35466 35811 44461 47748 53199 70932 71622 88922 106398 107433 133383 143244 159597 177844 212796 214866 266766 319194 400149 429732 533532 638388 800298 1022603 1200447 1600596 2045206 2400894 3067809 4090412 4801788 6135618 9203427 12271236 18406854 27610281 36813708 55220562 110441124