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113018112 = 283383197
BaseRepresentation
bin1101011110010…
…00010100000000
321212122220201000
412233020110000
5212413034422
615114212000
72541431604
oct657102400
9255586630
10113018112
11588831a9
1231a24000
131a55102c
141101d504
159dc6cac
hex6bc8500

113018112 has 144 divisors (see below), whose sum is σ = 339958080. Its totient is φ = 37029888.

The previous prime is 113018107. The next prime is 113018123. The reversal of 113018112 is 211810311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573598 + ... + 573794.

It is an arithmetic number, because the mean of its divisors is an integer number (2360820).

Almost surely, 2113018112 is an apocalyptic number.

113018112 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 113018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169979040).

113018112 is an abundant number, since it is smaller than the sum of its proper divisors (226939968).

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

113018112 is an equidigital number, since it uses as much as digits as its factorization.

113018112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 113018112 is about 10630.9976954188. The cubic root of 113018112 is about 483.4846414375.

Adding to 113018112 its reverse (211810311), we get a palindrome (324828423).

The spelling of 113018112 in words is "one hundred thirteen million, eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 197 216 249 256 288 332 384 394 432 498 576 591 664 747 768 788 864 996 1152 1182 1328 1494 1576 1728 1773 1992 2241 2304 2364 2656 2988 3152 3456 3546 3984 4482 4728 5312 5319 5976 6304 6912 7092 7968 8964 9456 10624 10638 11952 12608 14184 15936 16351 17928 18912 21248 21276 23904 25216 28368 31872 32702 35856 37824 42552 47808 49053 50432 56736 63744 65404 71712 75648 85104 95616 98106 113472 130808 143424 147159 151296 170208 191232 196212 226944 261616 286848 294318 340416 392424 441477 453888 523232 573696 588636 680832 784848 882954 1046464 1177272 1361664 1569696 1765908 2092928 2354544 3139392 3531816 4185856 4709088 6278784 7063632 9418176 12557568 14127264 18836352 28254528 37672704 56509056 113018112