Search a number
-
+
120013302000 = 24353171176601
BaseRepresentation
bin110111111000101011…
…0011010100011110000
3102110202221012102102010
41233301112122203300
53431241401131000
6131044445322520
711446020143514
oct1576126324360
9373687172363
10120013302000
1146996420109
121b314266440
13b417b93b87
145b4700a144
1531c6231d50
hex1bf159a8f0

120013302000 has 160 divisors (see below), whose sum is σ = 409683403584. Its totient is φ = 30120960000.

The previous prime is 120013301981. The next prime is 120013302029. The reversal of 120013302000 is 203310021.

It is a happy number.

120013302000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486301 + ... + 690300.

Almost surely, 2120013302000 is an apocalyptic number.

120013302000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120013302000 is an abundant number, since it is smaller than the sum of its proper divisors (289670101584).

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

120013302000 is a wasteful number, since it uses less digits than its factorization.

120013302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176644 (or 1176628 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 120013302000 its reverse (203310021), we get a palindrome (120216612021).

The spelling of 120013302000 in words is "one hundred twenty billion, thirteen million, three hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 1176601 2353202 3529803 4706404 5883005 7059606 9412808 11766010 14119212 17649015 18825616 20002217 23532020 28238424 29415025 35298030 40004434 47064040 56476848 58830050 60006651 70596060 80008868 88245075 94128080 100011085 117660100 120013302 141192120 147075125 160017736 176490150 200022170 235320200 240026604 282384240 294150250 300033255 320035472 352980300 400044340 441225375 470640400 480053208 500055425 588300500 600066510 705960600 800088680 882450750 960106416 1000110850 1176601000 1200133020 1411921200 1500166275 1600177360 1764901500 2000221700 2353202000 2400266040 2500277125 3000332550 3529803000 4000443400 4800532080 5000554250 6000665100 7059606000 7500831375 8000886800 10001108500 12001330200 15001662750 20002217000 24002660400 30003325500 40004434000 60006651000 120013302000