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112240031200 = 25521114985601
BaseRepresentation
bin110100010001000000…
…1101111010111100000
3101201201012102100111121
41220202001233113200
53314331421444300
6123321245222024
711052261344443
oct1504201572740
9351635370447
10112240031200
1143667631770
1219904b61914
13a77960635b
14560a8c165a
152dbdac081a
hex1a2206f5e0

112240031200 has 144 divisors (see below), whose sum is σ = 300925270800. Its totient is φ = 40540160000.

The previous prime is 112240031117. The next prime is 112240031201. The reversal of 112240031200 is 2130042211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112240031201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1268400 + ... + 1354000.

It is an arithmetic number, because the mean of its divisors is an integer number (2089758825).

Almost surely, 2112240031200 is an apocalyptic number.

112240031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112240031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150462635400).

112240031200 is an abundant number, since it is smaller than the sum of its proper divisors (188685239600).

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

112240031200 is a wasteful number, since it uses less digits than its factorization.

112240031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85781 (or 85768 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112240031200 its reverse (2130042211), we get a palindrome (114370073411).

The spelling of 112240031200 in words is "one hundred twelve billion, two hundred forty million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 149 160 176 200 220 275 298 352 400 440 550 596 745 800 880 1100 1192 1490 1639 1760 2200 2384 2980 3278 3725 4400 4768 5960 6556 7450 8195 8800 11920 13112 14900 16390 23840 26224 29800 32780 40975 52448 59600 65560 81950 85601 119200 131120 163900 171202 262240 327800 342404 428005 655600 684808 856010 941611 1311200 1369616 1712020 1883222 2140025 2739232 3424040 3766444 4280050 4708055 6848080 7532888 8560100 9416110 12754549 13696160 15065776 17120200 18832220 23540275 25509098 30131552 34240400 37664440 47080550 51018196 63772745 68480800 75328880 94161100 102036392 127545490 140300039 150657760 188322200 204072784 255090980 280600078 318863725 376644400 408145568 510181960 561200156 637727450 701500195 753288800 1020363920 1122400312 1275454900 1403000390 2040727840 2244800624 2550909800 2806000780 3507500975 4489601248 5101819600 5612001560 7015001950 10203639200 11224003120 14030003900 22448006240 28060007800 56120015600 112240031200