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112113400 = 23527731097
BaseRepresentation
bin1101010111010…
…11011011111000
321210221221200011
412223223123320
5212200112100
615042551304
72530643140
oct653533370
9253857604
10112113400
1158315503
1231668534
131a2c52b9
1410c65920
159c98bba
hex6aeb6f8

112113400 has 96 divisors (see below), whose sum is σ = 302257440. Its totient is φ = 37877760.

The previous prime is 112113361. The next prime is 112113401. The reversal of 112113400 is 4311211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112113401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101652 + ... + 102748.

It is an arithmetic number, because the mean of its divisors is an integer number (3148515).

Almost surely, 2112113400 is an apocalyptic number.

112113400 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 112113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151128720).

112113400 is an abundant number, since it is smaller than the sum of its proper divisors (190144040).

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

112113400 is a wasteful number, since it uses less digits than its factorization.

112113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 112113400 is about 10588.3615351951. The cubic root of 112113400 is about 482.1910825627.

Adding to 112113400 its reverse (4311211), we get a palindrome (116424611).

The spelling of 112113400 in words is "one hundred twelve million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 73 100 140 146 175 200 280 292 350 365 511 584 700 730 1022 1097 1400 1460 1825 2044 2194 2555 2920 3650 4088 4388 5110 5485 7300 7679 8776 10220 10970 12775 14600 15358 20440 21940 25550 27425 30716 38395 43880 51100 54850 61432 76790 80081 102200 109700 153580 160162 191975 219400 307160 320324 383950 400405 560567 640648 767900 800810 1121134 1535800 1601620 2002025 2242268 2802835 3203240 4004050 4484536 5605670 8008100 11211340 14014175 16016200 22422680 28028350 56056700 112113400