Search a number
-
+
12320144300 = 2252738112081
BaseRepresentation
bin10110111100101011…
…00111101110101100
31011210121112011202202
423132111213232230
5200212424104200
65354303241032
7614206333022
oct133625475654
934717464682
1012320144300
115252444842
122479ba9178
131214596619
1484c356712
154c190d1d5
hex2de567bac

12320144300 has 72 divisors (see below), whose sum is σ = 27147397872. Its totient is φ = 4852224000.

The previous prime is 12320144299. The next prime is 12320144339. The reversal of 12320144300 is 344102321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5919260 + ... + 5921340.

Almost surely, 212320144300 is an apocalyptic number.

12320144300 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 12320144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573698936).

12320144300 is an abundant number, since it is smaller than the sum of its proper divisors (14827253572).

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

12320144300 is a wasteful number, since it uses less digits than its factorization.

12320144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12320144300 its reverse (344102321), we get a palindrome (12664246621).

The spelling of 12320144300 in words is "twelve billion, three hundred twenty million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 811 1460 1622 1825 2081 3244 3650 4055 4162 7300 8110 8324 10405 16220 20275 20810 40550 41620 52025 59203 81100 104050 118406 151913 208100 236812 296015 303826 592030 607652 759565 1184060 1480075 1519130 1687691 2960150 3038260 3375382 3797825 5920300 6750764 7595650 8438455 15191300 16876910 33753820 42192275 84384550 123201443 168769100 246402886 492805772 616007215 1232014430 2464028860 3080036075 6160072150 12320144300