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113232413103120 = 243251277123153673
BaseRepresentation
bin11001101111101111111001…
…110000101001010000010000
3112211220220122120001222121100
4121233233321300221100100
5104320144440223244440
61040454130310424400
732564525516535603
oct3157577160512020
9484826576058540
10113232413103120
11330966622631a3
121084924a062100
134b24a0340b38c
141dd6699a3433a
15d1567ccb8230
hex66fbf9c29410

113232413103120 has 120 divisors (see below), whose sum is σ = 380569976009496. Its totient is φ = 30171664410624.

The previous prime is 113232413103097. The next prime is 113232413103181. The reversal of 113232413103120 is 21301314232311.

113232413103120 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 32 + 4 + 1 + 310 + 312 + 0 = 666.

113232413103120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30193882050816 + 83038531052304 = 5494896^2 + 9112548^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60657397 + ... + 62496276.

Almost surely, 2113232413103120 is an apocalyptic number.

113232413103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113232413103120 is an abundant number, since it is smaller than the sum of its proper divisors (267337562906376).

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

113232413103120 is a wasteful number, since it uses less digits than its factorization.

113232413103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123154969 (or 123154960 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 113232413103120 its reverse (21301314232311), we get a palindrome (134533727335431).

The spelling of 113232413103120 in words is "one hundred thirteen trillion, two hundred thirty-two billion, four hundred thirteen million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1277 2554 3831 5108 6385 7662 10216 11493 12770 15324 19155 20432 22986 25540 30648 38310 45972 51080 57465 61296 76620 91944 102160 114930 153240 183888 229860 306480 459720 919440 123153673 246307346 369461019 492614692 615768365 738922038 985229384 1108383057 1231536730 1477844076 1847305095 1970458768 2216766114 2463073460 2955688152 3694610190 4433532228 4926146920 5541915285 5911376304 7389220380 8867064456 9852293840 11083830570 14778440760 17734128912 22167661140 29556881520 44335322280 88670644560 157267240421 314534480842 471801721263 629068961684 786336202105 943603442526 1258137923368 1415405163789 1572672404210 1887206885052 2359008606315 2516275846736 2830810327578 3145344808420 3774413770104 4718017212630 5661620655156 6290689616840 7077025818945 7548827540208 9436034425260 11323241310312 12581379233680 14154051637890 18872068850520 22646482620624 28308103275780 37744137701040 56616206551560 113232413103120