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112303314 = 23359101349
BaseRepresentation
bin1101011000110…
…01110011010010
321211022121012000
412230121303102
5212222201224
615051014430
72532363624
oct654316322
9254277160
10112303314
1158435162
123173a416
131a360886
1410cb4c14
159cd50c9
hex6b19cd2

112303314 has 64 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 36331200.

The previous prime is 112303291. The next prime is 112303333. The reversal of 112303314 is 413303211.

It is a super-2 number, since 2×1123033142 = 25224068670765192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321612 + ... + 321960.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2112303314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112303314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

112303314 is an abundant number, since it is smaller than the sum of its proper divisors (144736686).

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

112303314 is a wasteful number, since it uses less digits than its factorization.

112303314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 112303314 is about 10597.3257947465. The cubic root of 112303314 is about 482.4631974579.

Adding to 112303314 its reverse (413303211), we get a palindrome (525606525).

The spelling of 112303314 in words is "one hundred twelve million, three hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 59 101 118 177 202 303 349 354 531 606 698 909 1047 1062 1593 1818 2094 2727 3141 3186 5454 5959 6282 9423 11918 17877 18846 20591 35249 35754 41182 53631 61773 70498 105747 107262 123546 160893 185319 211494 317241 321786 370638 555957 634482 951723 1111914 1903446 2079691 4159382 6239073 12478146 18717219 37434438 56151657 112303314