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113134200 = 233521571201
BaseRepresentation
bin1101011111001…
…00101001111000
321212212210221120
412233210221320
5212430243300
615120505240
72542424214
oct657445170
9255783846
10113134200
1158952443
1231a7b220
131a591b1a
141104d944
159deb3a0
hex6be4a78

113134200 has 96 divisors (see below), whose sum is σ = 353243760. Its totient is φ = 29952000.

The previous prime is 113134193. The next prime is 113134223. The reversal of 113134200 is 2431311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113134200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93600 + ... + 94800.

Almost surely, 2113134200 is an apocalyptic number.

113134200 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 113134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176621880).

113134200 is an abundant number, since it is smaller than the sum of its proper divisors (240109560).

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

113134200 is a wasteful number, since it uses less digits than its factorization.

113134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113134200 is about 10636.4561767536. The cubic root of 113134200 is about 483.6501239367.

Adding to 113134200 its reverse (2431311), we get a palindrome (115565511).

The spelling of 113134200 in words is "one hundred thirteen million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 157 200 300 314 471 600 628 785 942 1201 1256 1570 1884 2355 2402 3140 3603 3768 3925 4710 4804 6005 6280 7206 7850 9420 9608 11775 12010 14412 15700 18015 18840 23550 24020 28824 30025 31400 36030 47100 48040 60050 72060 90075 94200 120100 144120 180150 188557 240200 360300 377114 565671 720600 754228 942785 1131342 1508456 1885570 2262684 2828355 3771140 4525368 4713925 5656710 7542280 9427850 11313420 14141775 18855700 22626840 28283550 37711400 56567100 113134200