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110531304 = 23341313121
BaseRepresentation
bin1101001011010…
…01001011101000
321200222120110000
412211221023220
5211244000204
614545023000
72511333462
oct645511350
9250876400
10110531304
1157434894
1231024a60
1319b90150
1410973132
159a85039
hex69692e8

110531304 has 80 divisors (see below), whose sum is σ = 333430020. Its totient is φ = 34007040.

The previous prime is 110531299. The next prime is 110531327. The reversal of 110531304 is 403135011.

It can be written as a sum of positive squares in 2 ways, for example, as 94128804 + 16402500 = 9702^2 + 4050^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 1864 + ... + 14984.

Almost surely, 2110531304 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 110531304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166715010).

110531304 is an abundant number, since it is smaller than the sum of its proper divisors (222898716).

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

110531304 is a wasteful number, since it uses less digits than its factorization.

110531304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13139 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 110531304 is about 10513.3868948118. The cubic root of 110531304 is about 479.9121714304.

Adding to 110531304 its reverse (403135011), we get a palindrome (513666315).

The spelling of 110531304 in words is "one hundred ten million, five hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 13121 26242 39363 52484 78726 104968 118089 157452 170573 236178 314904 341146 354267 472356 511719 682292 708534 944712 1023438 1062801 1364584 1417068 1535157 2046876 2125602 2834136 3070314 4093752 4251204 4605471 6140628 8502408 9210942 12281256 13816413 18421884 27632826 36843768 55265652 110531304