Search a number
-
+
112231031130000 = 2432541247011457
BaseRepresentation
bin11001100001001011010010…
…101111100100011110010000
3112201101011220112020001101200
4121201023102233210132100
5104202243122432130000
61034410120211431200
732432265401314446
oct3141132257443620
9481334815201350
10112231031130000
113283aa05241462
12107071612b5500
134a81457a36383
141da0021c4cb96
15ce95c006d500
hex6612d2be4790

112231031130000 has 150 divisors (see below), whose sum is σ = 392488127325294. Its totient is φ = 29928274944000.

The previous prime is 112231031129999. The next prime is 112231031130037. The reversal of 112231031130000 is 31130132211.

112231031130000 is a `hidden beast` number, since 1 + 1 + 22 + 31 + 0 + 311 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 18253982811024 + 93977048318976 = 4272468^2 + 9694176^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 623415729 + ... + 623595728.

Almost surely, 2112231031130000 is an apocalyptic number.

112231031130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112231031130000 is an abundant number, since it is smaller than the sum of its proper divisors (280257096195294).

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

112231031130000 is a wasteful number, since it uses less digits than its factorization.

112231031130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247011491 (or 1247011467 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112231031130000 its reverse (31130132211), we get a palindrome (112262161262211).

The spelling of 112231031130000 in words is "one hundred twelve trillion, two hundred thirty-one billion, thirty-one million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1247011457 2494022914 3741034371 4988045828 6235057285 7482068742 9976091656 11223103113 12470114570 14964137484 18705171855 19952183312 22446206226 24940229140 29928274968 31175286425 37410343710 44892412452 49880458280 56115515565 59856549936 62350572850 74820687420 89784824904 93525859275 99760916560 112231031130 124701145700 149641374840 155876432125 179569649808 187051718550 224462062260 249402291400 280577577825 299282749680 311752864250 374103437100 448924124520 467629296375 498804582800 561155155650 623505728500 748206874200 779382160625 897848249040 935258592750 1122310311300 1247011457000 1402887889125 1496413748400 1558764321250 1870517185500 2244620622600 2338146481875 2494022914000 2805775778250 3117528642500 3741034371000 4489241245200 4676292963750 5611551556500 6235057285000 7014439445625 7482068742000 9352585927500 11223103113000 12470114570000 14028878891250 18705171855000 22446206226000 28057757782500 37410343710000 56115515565000 112231031130000