Search a number
-
+
112120330320 = 24325227686003
BaseRepresentation
bin110100001101011100…
…1000111100001010000
3101201101212011220202200
41220122321013201100
53314110301032240
6123301331443200
711046306040335
oct1503271074120
9351355156680
10112120330320
1143606004719
1219890a56500
13a75a88562b
1455d8a4298c
152db3328930
hex1a1ae47850

112120330320 has 120 divisors (see below), whose sum is σ = 378196749216. Its totient is φ = 29766998784.

The previous prime is 112120330313. The next prime is 112120330331. The reversal of 112120330320 is 23033021211.

112120330320 is a `hidden beast` number, since 1 + 1 + 2 + 12 + 0 + 330 + 320 = 666.

112120330320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1121203303202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112120330293 and 112120330302.

It is a congruent number.

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, 179562 + ... + 506441.

Almost surely, 2112120330320 is an apocalyptic number.

112120330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120330320 is an abundant number, since it is smaller than the sum of its proper divisors (266076418896).

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

112120330320 is a wasteful number, since it uses less digits than its factorization.

112120330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686249 (or 686240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112120330320 its reverse (23033021211), we get a palindrome (135153351531).

The spelling of 112120330320 in words is "one hundred twelve billion, one hundred twenty million, three hundred thirty thousand, three 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 90 120 144 180 227 240 360 454 681 720 908 1135 1362 1816 2043 2270 2724 3405 3632 4086 4540 5448 6810 8172 9080 10215 10896 13620 16344 18160 20430 27240 32688 40860 54480 81720 163440 686003 1372006 2058009 2744012 3430015 4116018 5488024 6174027 6860030 8232036 10290045 10976048 12348054 13720060 16464072 20580090 24696108 27440120 30870135 32928144 41160180 49392216 54880240 61740270 82320360 98784432 123480540 155722681 164640720 246961080 311445362 467168043 493922160 622890724 778613405 934336086 1245781448 1401504129 1557226810 1868672172 2335840215 2491562896 2803008258 3114453620 3737344344 4671680430 5606016516 6228907240 7007520645 7474688688 9343360860 11212033032 12457814480 14015041290 18686721720 22424066064 28030082580 37373443440 56060165160 112120330320