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110121444 = 22341719993
BaseRepresentation
bin1101001000001…
…01000111100100
321200012202020000
412210011013210
5211142341234
614532141300
72505005526
oct644050744
9250182200
10110121444
1157184964
1230a67830
1319a78724
14108a7a16
159a03899
hex69051e4

110121444 has 60 divisors (see below), whose sum is σ = 304828524. Its totient is φ = 34546176.

The previous prime is 110121443. The next prime is 110121457. The reversal of 110121444 is 444121011.

It can be written as a sum of positive squares in 2 ways, for example, as 75898944 + 34222500 = 8712^2 + 5850^2 .

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

It is not an unprimeable number, because it can be changed into a prime (110121443) 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 19 ways as a sum of consecutive naturals, for example, 4489 + ... + 15504.

Almost surely, 2110121444 is an apocalyptic number.

It is an amenable number.

110121444 is an abundant number, since it is smaller than the sum of its proper divisors (194707080).

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

110121444 is a wasteful number, since it uses less digits than its factorization.

110121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20026 (or 20015 counting only the distinct ones).

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

The square root of 110121444 is about 10493.8765001309. The cubic root of 110121444 is about 479.3182509130.

Adding to 110121444 its reverse (444121011), we get a palindrome (554242455).

The spelling of 110121444 in words is "one hundred ten million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 19993 39986 59979 79972 119958 179937 239916 339881 359874 539811 679762 719748 1019643 1079622 1359524 1619433 2039286 2159244 3058929 3238866 4078572 6117858 6477732 9176787 12235716 18353574 27530361 36707148 55060722 110121444