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112113200 = 24522411163
BaseRepresentation
bin1101010111010…
…11011000110000
321210221221101202
412223223120300
5212200110300
615042550332
72530642433
oct653533060
9253857352
10112113200
1158315341
12316683a8
131a2c5194
1410c6581a
159c98ad5
hex6aeb630

112113200 has 60 divisors (see below), whose sum is σ = 270702168. Its totient is φ = 44620800.

The previous prime is 112113191. The next prime is 112113203. The reversal of 112113200 is 2311211.

It is a super-2 number, since 2×1121132002 = 25138739228480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112113203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95819 + ... + 96981.

Almost surely, 2112113200 is an apocalyptic number.

112113200 is a gapful number since it is divisible by the number (10) 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 112113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135351084).

112113200 is an abundant number, since it is smaller than the sum of its proper divisors (158588968).

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

112113200 is a wasteful number, since it uses less digits than its factorization.

112113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 112113200 is about 10588.3520908591. The cubic root of 112113200 is about 482.1907958343.

Adding to 112113200 its reverse (2311211), we get a palindrome (114424411).

The spelling of 112113200 in words is "one hundred twelve million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 241 400 482 964 1163 1205 1928 2326 2410 3856 4652 4820 5815 6025 9304 9640 11630 12050 18608 19280 23260 24100 29075 46520 48200 58150 93040 96400 116300 232600 280283 465200 560566 1121132 1401415 2242264 2802830 4484528 5605660 7007075 11211320 14014150 22422640 28028300 56056600 112113200