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110030144 = 267449547
BaseRepresentation
bin1101000111011…
…10110101000000
321200001002222112
412203232311000
5211131431034
614530154452
72504145410
oct643566500
9250032875
10110030144
1157122304
1230a22a28
1319a45cc3
1410882640
1599d67ce
hex68eed40

110030144 has 56 divisors (see below), whose sum is σ = 250545600. Its totient is φ = 46964736.

The previous prime is 110030131. The next prime is 110030177. The reversal of 110030144 is 441030011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (14).

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 7 ways as a sum of consecutive naturals, for example, 200879 + ... + 201425.

Almost surely, 2110030144 is an apocalyptic number.

110030144 is a gapful number since it is divisible by the number (14) 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 110030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125272800).

110030144 is an abundant number, since it is smaller than the sum of its proper divisors (140515456).

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

110030144 is an equidigital number, since it uses as much as digits as its factorization.

110030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 110030144 is about 10489.5254420779. The cubic root of 110030144 is about 479.1857491514.

Adding to 110030144 its reverse (441030011), we get a palindrome (551060155).

The spelling of 110030144 in words is "one hundred ten million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 449 547 898 1094 1796 2188 3143 3592 3829 4376 6286 7184 7658 8752 12572 14368 15316 17504 25144 28736 30632 35008 50288 61264 100576 122528 201152 245056 245603 491206 982412 1719221 1964824 3438442 3929648 6876884 7859296 13753768 15718592 27507536 55015072 110030144