Search a number
-
+
120323300311000 = 2353832296330473
BaseRepresentation
bin11011010110111011110011…
…100100101011111111011000
3120210000210110200100111112001
4123112323303210223333120
5111232334104334423000
61103523432220330344
734226033356402423
oct3326736344537730
9523023420314461
10120323300311000
113537a909226a86
12115b35659a39b4
13521a5915c3c47
14219d9709149ba
15dd9d4269546a
hex6d6ef392bfd8

120323300311000 has 128 divisors (see below), whose sum is σ = 286193132971200. Its totient is φ = 47341801804800.

The previous prime is 120323300310953. The next prime is 120323300311009. The reversal of 120323300311000 is 113003323021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120323300311009) 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, 15841764 + ... + 22172236.

Almost surely, 2120323300311000 is an apocalyptic number.

120323300311000 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 120323300311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143096566485600).

120323300311000 is an abundant number, since it is smaller than the sum of its proper divisors (165869832660200).

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

120323300311000 is a wasteful number, since it uses less digits than its factorization.

120323300311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330806 (or 6330792 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 120323300311000 its reverse (113003323021), we get a palindrome (120436303634021).

The spelling of 120323300311000 in words is "one hundred twenty trillion, three hundred twenty-three billion, three hundred million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 229 250 332 415 458 500 664 830 916 1000 1145 1660 1832 2075 2290 3320 4150 4580 5725 8300 9160 10375 11450 16600 19007 20750 22900 28625 38014 41500 45800 57250 76028 83000 95035 114500 152056 190070 229000 380140 475175 760280 950350 1900700 2375875 3801400 4751750 6330473 9503500 12660946 19007000 25321892 31652365 50643784 63304730 126609460 158261825 253218920 316523650 525429259 633047300 791309125 1050858518 1266094600 1449678317 1582618250 2101717036 2627146295 2899356634 3165236500 4203434072 5254292590 5798713268 6330473000 7248391585 10508585180 11597426536 13135731475 14496783170 21017170360 26271462950 28993566340 36241957925 52542925900 57987132680 65678657375 72483915850 105085851800 120323300311 131357314750 144967831700 181209789625 240646600622 262714629500 289935663400 362419579250 481293201244 525429259000 601616501555 724839158500 962586402488 1203233003110 1449678317000 2406466006220 3008082507775 4812932012440 6016165015550 12032330031100 15040412538875 24064660062200 30080825077750 60161650155500 120323300311000