Search a number
-
+
112302013200 = 24352137198847
BaseRepresentation
bin110100010010110111…
…0001011101100010000
3101201212112001100211020
41220211232023230100
53314443303410300
6123331341515440
711053643235126
oct1504556135420
9351775040736
10112302013200
1143699616763
1219921872b80
13a7893c84b0
145614c17916
152dc42658a0
hex1a25b8bb10

112302013200 has 120 divisors (see below), whose sum is σ = 387413203968. Its totient is φ = 27643568640.

The previous prime is 112302013189. The next prime is 112302013249. The reversal of 112302013200 is 2310203211.

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

It is a super-2 number, since 2×1123020132002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112302013200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3583824 + ... + 3615023.

Almost surely, 2112302013200 is an apocalyptic number.

112302013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112302013200 is an abundant number, since it is smaller than the sum of its proper divisors (275111190768).

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

112302013200 is a wasteful number, since it uses less digits than its factorization.

112302013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198881 (or 7198870 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112302013200 its reverse (2310203211), we get a palindrome (114612216411).

The spelling of 112302013200 in words is "one hundred twelve billion, three hundred two million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 7198847 14397694 21596541 28795388 35994235 43193082 57590776 71988470 86386164 93585011 107982705 115181552 143976940 172772328 179971175 187170022 215965410 280755033 287953880 345544656 359942350 374340044 431930820 467925055 539913525 561510066 575907760 719884700 748680088 863861640 935850110 1079827050 1123020132 1403775165 1439769400 1497360176 1727723280 1871700220 2159654100 2246040264 2339625275 2807550330 2879538800 3743400440 4319308200 4492080528 4679250550 5615100660 7018875825 7486800880 8638616400 9358501100 11230201320 14037751650 18717002200 22460402640 28075503300 37434004400 56151006600 112302013200