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112320313000 = 2353786318593
BaseRepresentation
bin110100010011011001…
…1111111011010101000
3101201220210111002102121
41220212303333122220
53320013000004000
6123333234041024
711054254623250
oct1504663773250
9351823432377
10112320313000
11436a8985665
1219927a19174
13a790134a8c
14561741c960
152dc5b7cb1a
hex1a26cff6a8

112320313000 has 128 divisors (see below), whose sum is σ = 300740843520. Its totient is φ = 38463129600.

The previous prime is 112320312977. The next prime is 112320313009. The reversal of 112320313000 is 313023211.

It is not an unprimeable number, because it can be changed into a prime (112320313009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6031704 + ... + 6050296.

It is an arithmetic number, because the mean of its divisors is an integer number (2349537840).

Almost surely, 2112320313000 is an apocalyptic number.

112320313000 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 112320313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150370421760).

112320313000 is an abundant number, since it is smaller than the sum of its proper divisors (188420530520).

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

112320313000 is a wasteful number, since it uses less digits than its factorization.

112320313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19484 (or 19470 counting only the distinct ones).

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

Adding to 112320313000 its reverse (313023211), we get a palindrome (112633336211).

The spelling of 112320313000 in words is "one hundred twelve billion, three hundred twenty million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 863 875 1000 1400 1726 1750 3452 3500 4315 6041 6904 7000 8630 12082 17260 18593 21575 24164 30205 34520 37186 43150 48328 60410 74372 86300 92965 107875 120820 130151 148744 151025 172600 185930 215750 241640 260302 302050 371860 431500 464825 520604 604100 650755 743720 755125 863000 929650 1041208 1208200 1301510 1510250 1859300 2324125 2603020 3020500 3253775 3718600 4648250 5206040 6041000 6507550 9296500 13015100 16045759 16268875 18593000 26030200 32091518 32537750 64183036 65075500 80228795 112320313 128366072 130151000 160457590 224640626 320915180 401143975 449281252 561601565 641830360 802287950 898562504 1123203130 1604575900 2005719875 2246406260 2808007825 3209151800 4011439750 4492812520 5616015650 8022879500 11232031300 14040039125 16045759000 22464062600 28080078250 56160156500 112320313000