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113223304040 = 235711107343559
BaseRepresentation
bin110100101110010100…
…0101000001101101000
3101211020201121210021012
41221130220220031220
53323340131212130
6124003012203052
711115531130220
oct1513450501550
9354221553235
10113223304040
1144021670150
1219b3a309488
13a8a52379c2
1456a1317080
152e2a09a995
hex1a5ca28368

113223304040 has 128 divisors (see below), whose sum is σ = 320582707200. Its totient is φ = 34960462080.

The previous prime is 113223304039. The next prime is 113223304093. The reversal of 113223304040 is 40403322311.

It is a junction number, because it is equal to n+sod(n) for n = 113223303997 and 113223304015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157781 + ... + 501339.

It is an arithmetic number, because the mean of its divisors is an integer number (2504552400).

Almost surely, 2113223304040 is an apocalyptic number.

113223304040 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 113223304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160291353600).

113223304040 is an abundant number, since it is smaller than the sum of its proper divisors (207359403160).

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

113223304040 is a wasteful number, since it uses less digits than its factorization.

113223304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343695 (or 343691 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 113223304040 its reverse (40403322311), we get a palindrome (153626626351).

The spelling of 113223304040 in words is "one hundred thirteen billion, two hundred twenty-three million, three hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 107 110 140 154 214 220 280 308 385 428 440 535 616 749 770 856 1070 1177 1498 1540 2140 2354 2996 3080 3745 4280 4708 5885 5992 7490 8239 9416 11770 14980 16478 23540 29960 32956 41195 47080 65912 82390 164780 329560 343559 687118 1374236 1717795 2404913 2748472 3435590 3779149 4809826 6871180 7558298 9619652 12024565 13742360 15116596 18895745 19239304 24049130 26454043 30233192 36760813 37791490 48098260 52908086 73521626 75582980 96196520 105816172 132270215 147043252 151165960 183804065 211632344 257325691 264540430 294086504 367608130 404368943 514651382 529080860 735216260 808737886 1029302764 1058161720 1286628455 1470432520 1617475772 2021844715 2058605528 2573256910 2830582601 3234951544 4043689430 5146513820 5661165202 8087378860 10293027640 11322330404 14152913005 16174757720 22644660808 28305826010 56611652020 113223304040