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112917227040 = 253458712749
BaseRepresentation
bin110100100101001100…
…1000010011000100000
3101210110101200110120000
41221022121002120200
53322223302231130
6123512400020000
711105123410362
oct1511231023040
9353411613500
10112917227040
1143984915a52
1219a73901600
13a8569bcb57
145672800d32
152e0d28b260
hex1a4a642620

112917227040 has 120 divisors (see below), whose sum is σ = 398503759500. Its totient is φ = 30111257088.

The previous prime is 112917226997. The next prime is 112917227041. The reversal of 112917227040 is 40722719211.

It can be written as a sum of positive squares in 2 ways, for example, as 109669594896 + 3247632144 = 331164^2 + 56988^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112917226986 and 112917227004.

It is not an unprimeable number, because it can be changed into a prime (112917227041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4343415 + ... + 4369334.

Almost surely, 2112917227040 is an apocalyptic number.

112917227040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112917227040 is an abundant number, since it is smaller than the sum of its proper divisors (285586532460).

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

112917227040 is an equidigital number, since it uses as much as digits as its factorization.

112917227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712776 (or 8712759 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 112917227040 in words is "one hundred twelve billion, nine hundred seventeen million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 8712749 17425498 26138247 34850996 43563745 52276494 69701992 78414741 87127490 104552988 130691235 139403984 156829482 174254980 209105976 235244223 261382470 278807968 313658964 348509960 392073705 418211952 470488446 522764940 627317928 697019920 705732669 784147410 836423904 940976892 1045529880 1176221115 1254635856 1394039840 1411465338 1568294820 1881953784 2091059760 2352442230 2509271712 2822930676 3136589640 3528663345 3763907568 4182119520 4704884460 5645861352 6273179280 7057326690 7527815136 9409768920 11291722704 12546358560 14114653380 18819537840 22583445408 28229306760 37639075680 56458613520 112917227040