Search a number
-
+
12330221000 = 2353191135743
BaseRepresentation
bin10110111101111000…
…00011110111001000
31011211022111010101212
423132330003313020
5200223014033000
65355303232252
7614361102116
oct133674036710
934738433355
1012330221000
1152580a7599
122481448688
1312166b4076
1484d81aab6
154c274dc35
hex2def03dc8

12330221000 has 128 divisors (see below), whose sum is σ = 30645388800. Its totient is φ = 4630348800.

The previous prime is 12330220997. The next prime is 12330221003. The reversal of 12330221000 is 12203321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12330220997) and next prime (12330221003).

It is not an unprimeable number, because it can be changed into a prime (12330221003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2144129 + ... + 2149871.

It is an arithmetic number, because the mean of its divisors is an integer number (239417100).

Almost surely, 212330221000 is an apocalyptic number.

12330221000 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 12330221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15322694400).

12330221000 is an abundant number, since it is smaller than the sum of its proper divisors (18315167800).

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

12330221000 is a wasteful number, since it uses less digits than its factorization.

12330221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12330221000 its reverse (12203321), we get a palindrome (12342424321).

The spelling of 12330221000 in words is "twelve billion, three hundred thirty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 113 125 152 190 200 226 250 380 452 475 500 565 760 904 950 1000 1130 1900 2147 2260 2375 2825 3800 4294 4520 4750 5650 5743 8588 9500 10735 11300 11486 14125 17176 19000 21470 22600 22972 28250 28715 42940 45944 53675 56500 57430 85880 107350 109117 113000 114860 143575 214700 218234 229720 268375 287150 429400 436468 536750 545585 574300 648959 717875 872936 1073500 1091170 1148600 1297918 1435750 2147000 2182340 2595836 2727925 2871500 3244795 4364680 5191672 5455850 5743000 6489590 10911700 12330221 12979180 13639625 16223975 21823400 24660442 25958360 27279250 32447950 49320884 54558500 61651105 64895900 81119875 98641768 109117000 123302210 129791800 162239750 246604420 308255525 324479500 493208840 616511050 648959000 1233022100 1541277625 2466044200 3082555250 6165110500 12330221000