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112113330 = 23573747307
BaseRepresentation
bin1101010111010…
…11011010110010
321210221221120120
412223223122302
5212200111310
615042551110
72530643010
oct653533262
9253857516
10112113330
115831544a
1231668496
131a2c5264
1410c658b0
159c98b70
hex6aeb6b2

112113330 has 128 divisors (see below), whose sum is σ = 323592192. Its totient is φ = 24323328.

The previous prime is 112113299. The next prime is 112113349. The reversal of 112113330 is 33311211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365037 + ... + 365343.

It is an arithmetic number, because the mean of its divisors is an integer number (2528064).

Almost surely, 2112113330 is an apocalyptic number.

112113330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161796096).

112113330 is an abundant number, since it is smaller than the sum of its proper divisors (211478862).

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

112113330 is a wasteful number, since it uses less digits than its factorization.

112113330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 112113330 is about 10588.3582296785. The cubic root of 112113330 is about 482.1909822078.

Adding to 112113330 its reverse (33311211), we get a palindrome (145424541).

It can be divided in two parts, 11211 and 3330, that added together give a palindrome (14541).

The spelling of 112113330 in words is "one hundred twelve million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 47 70 74 94 105 111 141 185 210 222 235 259 282 307 329 370 470 518 555 614 658 705 777 921 987 1110 1295 1410 1535 1554 1645 1739 1842 1974 2149 2590 3070 3290 3478 3885 4298 4605 4935 5217 6447 7770 8695 9210 9870 10434 10745 11359 12173 12894 14429 17390 21490 22718 24346 26085 28858 32235 34077 36519 43287 52170 56795 60865 64470 68154 72145 73038 79513 86574 101003 113590 121730 144290 159026 170385 182595 202006 216435 238539 303009 340770 365190 397565 432870 477078 505015 533873 606018 795130 1010030 1067746 1192695 1515045 1601619 2385390 2669365 3030090 3203238 3737111 5338730 7474222 8008095 11211333 16016190 18685555 22422666 37371110 56056665 112113330