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113043120 = 24353311423
BaseRepresentation
bin1101011110011…
…10011010110000
321212201012000020
412233032122300
5212414334440
615114523440
72541564531
oct657163260
9255635006
10113043120
115889aa73
1231a36580
131a55c528
1411028688
159dce3d0
hex6bce6b0

113043120 has 80 divisors (see below), whose sum is σ = 351739392. Its totient is φ = 30032640.

The previous prime is 113043097. The next prime is 113043127. The reversal of 113043120 is 21340311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1130431203 (a number of 25 digits) contains 333 as substring.

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 113043120.

It is not an unprimeable number, because it can be changed into a prime (113043127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78729 + ... + 80151.

Almost surely, 2113043120 is an apocalyptic number.

113043120 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 113043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175869696).

113043120 is an abundant number, since it is smaller than the sum of its proper divisors (238696272).

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

113043120 is a wasteful number, since it uses less digits than its factorization.

113043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1764 counting only the distinct ones).

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

The square root of 113043120 is about 10632.1738134777. The cubic root of 113043120 is about 483.5202997109.

Adding to 113043120 its reverse (21340311), we get a palindrome (134383431).

The spelling of 113043120 in words is "one hundred thirteen million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1423 1655 1986 2648 2846 3310 3972 4269 4965 5296 5692 6620 7115 7944 8538 9930 11384 13240 14230 15888 17076 19860 21345 22768 26480 28460 34152 39720 42690 56920 68304 79440 85380 113840 170760 341520 471013 942026 1413039 1884052 2355065 2826078 3768104 4710130 5652156 7065195 7536208 9420260 11304312 14130390 18840520 22608624 28260780 37681040 56521560 113043120