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113043043120 = 24572158318217
BaseRepresentation
bin110100101000111100…
…0111111001100110000
3101210210011102120202211
41221101320333030300
53323003004334440
6123533052421504
711111212004200
oct1512170771460
9353704376684
10113043043120
1143a3993a487
1219aa9a77894
13a876aa2137
1456853d2400
152e1933eeea
hex1a51e3f330

113043043120 has 120 divisors (see below), whose sum is σ = 305945221824. Its totient is φ = 38731004928.

The previous prime is 113043043103. The next prime is 113043043121. The reversal of 113043043120 is 21340340311.

It is a super-3 number, since 3×1130430431203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113043043091 and 113043043100.

It is not an unprimeable number, because it can be changed into a prime (113043043121) 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, 6196252 + ... + 6214468.

Almost surely, 2113043043120 is an apocalyptic number.

113043043120 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 113043043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152972610912).

113043043120 is an abundant number, since it is smaller than the sum of its proper divisors (192902178704).

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

113043043120 is a wasteful number, since it uses less digits than its factorization.

113043043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19827 (or 19814 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 113043043120 its reverse (21340340311), we get a palindrome (134383383431).

The spelling of 113043043120 in words is "one hundred thirteen billion, forty-three million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1583 1960 3166 3920 6332 7915 11081 12664 15830 18217 22162 25328 31660 36434 44324 55405 63320 72868 77567 88648 91085 110810 126640 127519 145736 155134 177296 182170 221620 255038 291472 310268 364340 387835 443240 510076 620536 637595 728680 775670 886480 892633 1020152 1241072 1275190 1457360 1551340 1785266 2040304 2550380 3102680 3570532 4463165 5100760 6205360 7141064 8926330 10201520 14282128 17852660 28837511 35705320 57675022 71410640 115350044 144187555 201862577 230700088 288375110 403725154 461400176 576750220 807450308 1009312885 1153500440 1413038039 1614900616 2018625770 2307000880 2826076078 3229801232 4037251540 5652152156 7065190195 8074503080 11304304312 14130380390 16149006160 22608608624 28260760780 56521521560 113043043120