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113111540 = 22517536277
BaseRepresentation
bin1101011110111…
…11000111110100
321212211122212022
412233133013310
5212424032130
615120212312
72542301153
oct657370764
9255748768
10113111540
1158937413
1231a6a098
131a584709
141104559a
159de47e5
hex6bdf1f4

113111540 has 48 divisors (see below), whose sum is σ = 256293072. Its totient is φ = 41773056.

The previous prime is 113111527. The next prime is 113111549. The reversal of 113111540 is 45111311.

It can be written as a sum of positive squares in 8 ways, for example, as 26770276 + 86341264 = 5174^2 + 9292^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113111549) 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, 14882 + ... + 21158.

It is an arithmetic number, because the mean of its divisors is an integer number (5339439).

Almost surely, 2113111540 is an apocalyptic number.

113111540 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 113111540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128146536).

113111540 is an abundant number, since it is smaller than the sum of its proper divisors (143181532).

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

113111540 is a wasteful number, since it uses less digits than its factorization.

113111540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 113111540 is about 10635.3909190025. The cubic root of 113111540 is about 483.6178311859.

Adding to 113111540 its reverse (45111311), we get a palindrome (158222851).

The spelling of 113111540 in words is "one hundred thirteen million, one hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 6277 9010 12554 18020 25108 31385 62770 106709 125540 213418 332681 426836 533545 665362 1067090 1330724 1663405 2134180 3326810 5655577 6653620 11311154 22622308 28277885 56555770 113111540