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112313320000 = 26547401119
BaseRepresentation
bin110100010011001100…
…1010100001001000000
3101201220022022210211121
41220212121110021000
53320004202220000
6123332424122024
711054141316430
oct1504631241100
9351808283747
10112313320000
11436a4a39722
1219925606314
13a78b856acb
14561651c2c0
152dc524ab1a
hex1a26654240

112313320000 has 140 divisors (see below), whose sum is σ = 318287115520. Its totient is φ = 38507328000.

The previous prime is 112313319997. The next prime is 112313320001. The reversal of 112313320000 is 23313211.

It is a tau number, because it is divible by the number of its divisors (140).

It is a super-2 number, since 2×1123133200002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112313320001) 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, 79441 + ... + 480559.

Almost surely, 2112313320000 is an apocalyptic number.

112313320000 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 112313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159143557760).

112313320000 is an abundant number, since it is smaller than the sum of its proper divisors (205973795520).

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

112313320000 is an frugal number, since it uses more digits than its factorization.

112313320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401158 (or 401133 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 112313320000 its reverse (23313211), we get a palindrome (112336633211).

The spelling of 112313320000 in words is "one hundred twelve billion, three hundred thirteen million, three hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 140000 280000 401119 802238 1604476 2005595 2807833 3208952 4011190 5615666 6417904 8022380 10027975 11231332 12835808 14039165 16044760 20055950 22462664 25671616 28078330 32089520 40111900 44925328 50139875 56156660 64179040 70195825 80223800 89850656 100279750 112313320 128358080 140391650 160447600 179701312 200559500 224626640 250699375 280783300 320895200 350979125 401119000 449253280 501398750 561566600 641790400 701958250 802238000 898506560 1002797500 1123133200 1403916500 1604476000 1754895625 2005595000 2246266400 2807833000 3208952000 3509791250 4011190000 4492532800 5615666000 7019582500 8022380000 11231332000 14039165000 16044760000 22462664000 28078330000 56156660000 112313320000