Search a number
-
+
111320454303296 = 2671373495196979
BaseRepresentation
bin11001010011111011010000…
…001000101000111001000000
3112121011010112212021111112222
4121103323100020220321000
5104042333242300201141
61032431524414110212
732306431430066450
oct3123732010507100
9477133485244488
10111320454303296
1132519815377177
121059a796aab368
134a16620c18b34
141d6bd1dc6dd60
15cd0a791e214b
hex653ed0228e40

111320454303296 has 112 divisors (see below), whose sum is σ = 255030360144000. Its totient is φ = 47224814358528.

The previous prime is 111320454303283. The next prime is 111320454303347. The reversal of 111320454303296 is 692303454023111.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 18821735 + ... + 24018713.

It is an arithmetic number, because the mean of its divisors is an integer number (2277056787000).

Almost surely, 2111320454303296 is an apocalyptic number.

111320454303296 is a gapful number since it is divisible by the number (16) 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 111320454303296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127515180072000).

111320454303296 is an abundant number, since it is smaller than the sum of its proper divisors (143709905840704).

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

111320454303296 is a wasteful number, since it uses less digits than its factorization.

111320454303296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197484 (or 5197474 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 111320454303296 in words is "one hundred eleven trillion, three hundred twenty billion, four hundred fifty-four million, three hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 137 224 274 349 448 548 698 959 1096 1396 1918 2192 2443 2792 3836 4384 4886 5584 7672 8768 9772 11168 15344 19544 22336 30688 39088 47813 61376 78176 95626 156352 191252 334691 382504 669382 765008 1338764 1530016 2677528 3060032 5196979 5355056 10393958 10710112 20787916 21420224 36378853 41575832 72757706 83151664 145515412 166303328 291030824 332606656 582061648 711986123 1164123296 1423972246 1813745671 2328246592 2847944492 3627491342 4983902861 5695888984 7254982684 9967805722 11391777968 12696219697 14509965368 19935611444 22783555936 25392439394 29019930736 39871222888 45567111872 50784878788 58039861472 79742445776 101569757576 116079722944 159484891552 203139515152 248483156927 318969783104 406279030304 496966313854 812558060608 993932627708 1739382098489 1987865255416 3478764196978 3975730510832 6957528393956 7951461021664 13915056787912 15902922043328 27830113575824 55660227151648 111320454303296