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113112540 = 223251036101
BaseRepresentation
bin1101011110111…
…11010111011100
321212211201020100
412233133113130
5212424100130
615120221100
72542304112
oct657372734
9255751210
10113112540
1158938142
1231a6a790
131a584cc8
1411045ab2
159de4c60
hex6bdf5dc

113112540 has 72 divisors (see below), whose sum is σ = 346495968. Its totient is φ = 29865600.

The previous prime is 113112533. The next prime is 113112541. The reversal of 113112540 is 45211311.

113112540 is a `hidden beast` number, since 1 + 13 + 112 + 540 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113112541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15490 + ... + 21590.

It is an arithmetic number, because the mean of its divisors is an integer number (4812444).

Almost surely, 2113112540 is an apocalyptic number.

113112540 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 113112540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173247984).

113112540 is an abundant number, since it is smaller than the sum of its proper divisors (233383428).

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

113112540 is a wasteful number, since it uses less digits than its factorization.

113112540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113112540 is about 10635.4379317450. The cubic root of 113112540 is about 483.6192563762.

Adding to 113112540 its reverse (45211311), we get a palindrome (158323851).

The spelling of 113112540 in words is "one hundred thirteen million, one hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6101 6180 9270 12202 18303 18540 24404 30505 36606 54909 61010 73212 91515 109818 122020 183030 219636 274545 366060 549090 628403 1098180 1256806 1885209 2513612 3142015 3770418 5655627 6284030 7540836 9426045 11311254 12568060 18852090 22622508 28278135 37704180 56556270 113112540