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312313222112 = 25235311370853
BaseRepresentation
bin1001000101101110101…
…00011001001111100000
31002212010122102112001112
410202313110121033200
520104104141101422
6355250312122452
731364261405153
oct4426724311740
91085118375045
10312313222112
111104a6743321
1250641096428
13235b2b40558
141118a5b5c9a
1581cd6a0ee2
hex48b75193e0

312313222112 has 96 divisors (see below), whose sum is σ = 659499962688. Its totient is φ = 145250000896.

The previous prime is 312313222099. The next prime is 312313222121. The reversal of 312313222112 is 211222313213.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4372478 + ... + 4443330.

It is an arithmetic number, because the mean of its divisors is an integer number (6869791278).

Almost surely, 2312313222112 is an apocalyptic number.

312313222112 is a gapful number since it is divisible by the number (32) 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 312313222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329749981344).

312313222112 is an abundant number, since it is smaller than the sum of its proper divisors (347186740576).

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

312313222112 is a wasteful number, since it uses less digits than its factorization.

312313222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71052 (or 71044 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

Adding to 312313222112 its reverse (211222313213), we get a palindrome (523535535325).

The spelling of 312313222112 in words is "three hundred twelve billion, three hundred thirteen million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 113 184 212 226 368 424 452 736 848 904 1219 1696 1808 2438 2599 3616 4876 5198 5989 9752 10396 11978 19504 20792 23956 39008 41584 47912 70853 83168 95824 137747 141706 191648 275494 283412 550988 566824 1101976 1133648 1629619 2203952 2267296 3259238 3755209 4407904 6518476 7510418 8006389 13036952 15020836 16012778 26073904 30041672 32025556 52147808 60083344 64051112 86369807 120166688 128102224 172739614 184146947 256204448 345479228 368293894 424338617 690958456 736587788 848677234 1381916912 1473175576 1697354468 2763833824 2946351152 3394708936 5892702304 6789417872 9759788191 13578835744 19519576382 39039152764 78078305528 156156611056 312313222112