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110431120 = 2451380389
BaseRepresentation
bin1101001010100…
…00101110010000
321200210111000111
412211100232100
5211232243440
614542531104
72510435422
oct645205620
9250714014
10110431120
1157376598
1230b96a94
1319b56677
1410948812
159a654ea
hex6950b90

110431120 has 20 divisors (see below), whose sum is σ = 256752540. Its totient is φ = 44172416.

The previous prime is 110431117. The next prime is 110431121. The reversal of 110431120 is 21134011.

It can be written as a sum of positive squares in 2 ways, for example, as 16418704 + 94012416 = 4052^2 + 9696^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 110431120.

It is not an unprimeable number, because it can be changed into a prime (110431121) 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 3 ways as a sum of consecutive naturals, for example, 690115 + ... + 690274.

It is an arithmetic number, because the mean of its divisors is an integer number (12837627).

Almost surely, 2110431120 is an apocalyptic number.

110431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110431120 is an abundant number, since it is smaller than the sum of its proper divisors (146321420).

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

110431120 is a wasteful number, since it uses less digits than its factorization.

110431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380402 (or 1380396 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 110431120 is about 10508.6212225962. The cubic root of 110431120 is about 479.7671324151.

Adding to 110431120 its reverse (21134011), we get a palindrome (131565131).

The spelling of 110431120 in words is "one hundred ten million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1380389 2760778 5521556 6901945 11043112 13803890 22086224 27607780 55215560 110431120