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113032441125 = 32531718132653
BaseRepresentation
bin110100101000101000…
…0100010110100100101
3101210202102110221120100
41221101100202310211
53322442301104000
6123532033254313
711111022616452
oct1512120426445
9353672427510
10113032441125
1143a33958aaa
1219aa6404399
13a87482c576
145683c32829
152e18448a00
hex1a51422d25

113032441125 has 96 divisors (see below), whose sum is σ = 216944294112. Its totient is φ = 56422656000.

The previous prime is 113032441099. The next prime is 113032441129. The reversal of 113032441125 is 521144230311.

113032441125 is a `hidden beast` number, since 1 + 1 + 303 + 244 + 112 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 101402759844 + 11629681281 = 318438^2 + 107841^2 .

It is not a de Polignac number, because 113032441125 - 28 = 113032440869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113032441129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3445299 + ... + 3477951.

It is an arithmetic number, because the mean of its divisors is an integer number (2259836397).

Almost surely, 2113032441125 is an apocalyptic number.

113032441125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113032441125 is a deficient number, since it is larger than the sum of its proper divisors (103911852987).

113032441125 is a wasteful number, since it uses less digits than its factorization.

113032441125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32872 (or 32859 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 113032441125 its reverse (521144230311), we get a palindrome (634176671436).

The spelling of 113032441125 in words is "one hundred thirteen billion, thirty-two million, four hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 181 225 255 375 425 543 765 905 1125 1275 1629 2125 2715 3077 3825 4525 6375 8145 9231 13575 15385 19125 22625 27693 32653 40725 46155 67875 76925 97959 138465 163265 203625 230775 293877 384625 489795 555101 692325 816325 1153875 1469385 1665303 2448975 2775505 3461625 4081625 4995909 5910193 7346925 8326515 12244875 13877525 17730579 24979545 29550965 36734625 41632575 53191737 69387625 88652895 100473281 124897725 147754825 208162875 265958685 301419843 443264475 502366405 624488625 738774125 904259529 1329793425 1507099215 2216322375 2511832025 4521297645 6648967125 7535496075 12559160125 22606488225 37677480375 113032441125