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113441020 = 225711193877
BaseRepresentation
bin1101100001011…
…11100011111100
321220110101211021
412300233203330
5213020103040
615131233524
72545142560
oct660574374
9256411737
10113441020
1159041a10
1231ba88a4
131a66b684
14110cd6a0
159e5c24a
hex6c2f8fc

113441020 has 96 divisors (see below), whose sum is σ = 312721920. Its totient is φ = 33488640.

The previous prime is 113440981. The next prime is 113441021. The reversal of 113441020 is 20144311.

It is a junction number, because it is equal to n+sod(n) for n = 113440985 and 113441003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113441021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27322 + ... + 31198.

It is an arithmetic number, because the mean of its divisors is an integer number (3257520).

Almost surely, 2113441020 is an apocalyptic number.

113441020 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 113441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156360960).

113441020 is an abundant number, since it is smaller than the sum of its proper divisors (199280900).

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

113441020 is a wasteful number, since it uses less digits than its factorization.

113441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 113441020 is about 10650.8694480779. The cubic root of 113441020 is about 484.0869490671.

Adding to 113441020 its reverse (20144311), we get a palindrome (133585331).

The spelling of 113441020 in words is "one hundred thirteen million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 3877 4180 5852 7315 7754 14630 15508 19385 27139 29260 38770 42647 54278 73663 77540 85294 108556 135695 147326 170588 213235 271390 294652 298529 368315 426470 515641 542780 597058 736630 810293 852940 1031282 1194116 1473260 1492645 1620586 2062564 2578205 2985290 3241172 4051465 5156410 5672051 5970580 8102930 10312820 11344102 16205860 22688204 28360255 56720510 113441020