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110012304 = 24317314349
BaseRepresentation
bin1101000111010…
…10011110010000
321200000012111210
412203222132100
5211130343204
614525540120
72504042403
oct643523620
9250005453
10110012304
115710a966
1230a14640
1319a3ab4c
1410879d3a
1599d1389
hex68ea790

110012304 has 80 divisors (see below), whose sum is σ = 310694400. Its totient is φ = 33392640.

The previous prime is 110012297. The next prime is 110012323. The reversal of 110012304 is 403210011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 110012304.

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 15 ways as a sum of consecutive naturals, for example, 23122 + ... + 27470.

It is an arithmetic number, because the mean of its divisors is an integer number (3883680).

Almost surely, 2110012304 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 110012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155347200).

110012304 is an abundant number, since it is smaller than the sum of its proper divisors (200682096).

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

110012304 is a wasteful number, since it uses less digits than its factorization.

110012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110012304 is about 10488.6750354847. The cubic root of 110012304 is about 479.1598497766.

Adding to 110012304 its reverse (403210011), we get a palindrome (513222315).

The spelling of 110012304 in words is "one hundred ten million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 4216 4349 6324 8432 8698 12648 13047 17396 25296 26094 34792 52188 69584 73933 104376 134819 147866 208752 221799 269638 295732 404457 443598 539276 591464 808914 887196 1078552 1182928 1617828 1774392 2157104 2291923 3235656 3548784 4583846 6471312 6875769 9167692 13751538 18335384 27503076 36670768 55006152 110012304