Base | Representation |
---|---|
bin | 110100010011011001… |
… | …1111111001011000000 |
3 | 101201220210111001001120 |
4 | 1220212303333023000 |
5 | 3320012444441000 |
6 | 123333234032240 |
7 | 11054254620321 |
oct | 1504663771300 |
9 | 351823431046 |
10 | 112320312000 |
11 | 436a8984936 |
12 | 19927a18680 |
13 | a7901344a0 |
14 | 561741c448 |
15 | 2dc5b7c6a0 |
hex | 1a26cff2c0 |
112320312000 has 448 divisors, whose sum is σ = 402130345344. Its totient is φ = 27459993600.
The previous prime is 112320311947. The next prime is 112320312019. The reversal of 112320312000 is 213023211.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48982854 + ... + 48985146.
It is an arithmetic number, because the mean of its divisors is an integer number (897612378).
Almost surely, 2112320312000 is an apocalyptic number.
112320312000 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 112320312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201065172672).
112320312000 is an abundant number, since it is smaller than the sum of its proper divisors (289810033344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112320312000 is a wasteful number, since it uses less digits than its factorization.
112320312000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2493 (or 2473 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 112320312000 its reverse (213023211), we get a palindrome (112533335211).
It can be divided in two parts, 112320 and 312000, that multiplied together give a square (35043840000 = 1872002).
The spelling of 112320312000 in words is "one hundred twelve billion, three hundred twenty million, three hundred twelve thousand".
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