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113030112 = 2531341472
BaseRepresentation
bin1101011110010…
…11001111100000
321212200112011110
412233023033200
5212413430422
615114343320
72541511566
oct657131740
9255615143
10113030112
1158891218
1231a2ab40
131a556630
1411023a36
159dca60c
hex6bcb3e0

113030112 has 144 divisors (see below), whose sum is σ = 334433232. Its totient is φ = 33208320.

The previous prime is 113030111. The next prime is 113030131. The reversal of 113030112 is 211030311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113030111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2404873 + ... + 2404919.

It is an arithmetic number, because the mean of its divisors is an integer number (2322453).

Almost surely, 2113030112 is an apocalyptic number.

113030112 is a gapful number since it is divisible by the number (12) 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 113030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167216616).

113030112 is an abundant number, since it is smaller than the sum of its proper divisors (221403120).

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

113030112 is a wasteful number, since it uses less digits than its factorization.

113030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113030112 is about 10631.5620677302. The cubic root of 113030112 is about 483.5017525897.

Adding to 113030112 its reverse (211030311), we get a palindrome (324060423).

The spelling of 113030112 in words is "one hundred thirteen million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 47 48 52 78 82 94 96 104 123 141 156 164 188 208 246 282 312 328 376 416 492 533 564 611 624 656 752 984 1066 1128 1222 1248 1312 1504 1599 1833 1927 1968 2132 2209 2256 2444 3198 3666 3854 3936 4264 4418 4512 4888 5781 6396 6627 7332 7708 8528 8836 9776 11562 12792 13254 14664 15416 17056 17672 19552 23124 25051 25584 26508 28717 29328 30832 35344 46248 50102 51168 53016 57434 58656 61664 70688 75153 86151 90569 92496 100204 106032 114868 150306 172302 181138 184992 200408 212064 229736 271707 300612 344604 362276 400816 459472 543414 601224 689208 724552 801632 918944 1086828 1177397 1202448 1378416 1449104 2173656 2354794 2404896 2756832 2898208 3532191 4347312 4709588 7064382 8694624 9419176 14128764 18838352 28257528 37676704 56515056 113030112