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12301330320 = 2432544338567
BaseRepresentation
bin10110111010011011…
…10110011110010000
31011202022010022211200
423131031312132100
5200143120032240
65352352111200
7613560403536
oct133515663620
934668108750
1012301330320
1152428645a4
122473835500
131210709ca6
14849a5a156
154bee43930
hex2dd376790

12301330320 has 120 divisors (see below), whose sum is σ = 41406296256. Its totient is φ = 3272865024.

The previous prime is 12301330309. The next prime is 12301330337. The reversal of 12301330320 is 2303310321.

12301330320 is a `hidden beast` number, since 1 + 2 + 301 + 330 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12301330293 and 12301330302.

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 23 ways as a sum of consecutive naturals, for example, 299677 + ... + 338243.

Almost surely, 212301330320 is an apocalyptic number.

12301330320 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 12301330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703148128).

12301330320 is an abundant number, since it is smaller than the sum of its proper divisors (29104965936).

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

12301330320 is a wasteful number, since it uses less digits than its factorization.

12301330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39029 (or 39020 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12301330320 its reverse (2303310321), we get a palindrome (14604640641).

The spelling of 12301330320 in words is "twelve billion, three hundred one million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 443 720 886 1329 1772 2215 2658 3544 3987 4430 5316 6645 7088 7974 8860 10632 13290 15948 17720 19935 21264 26580 31896 35440 38567 39870 53160 63792 77134 79740 106320 115701 154268 159480 192835 231402 308536 318960 347103 385670 462804 578505 617072 694206 771340 925608 1157010 1388412 1542680 1735515 1851216 2314020 2776824 3085360 3471030 4628040 5553648 6942060 9256080 13884120 17085181 27768240 34170362 51255543 68340724 85425905 102511086 136681448 153766629 170851810 205022172 256277715 273362896 307533258 341703620 410044344 512555430 615066516 683407240 768833145 820088688 1025110860 1230133032 1366814480 1537666290 2050221720 2460266064 3075332580 4100443440 6150665160 12301330320