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12330111000 = 2335316724611
BaseRepresentation
bin10110111101110111…
…01001000000011000
31011211022021112111210
423132323221000120
5200223002023000
65355301023120
7614360133324
oct133673510030
934738245453
1012330111000
115258031989
1224813b4aa0
131216675c8c
1484d7cc984
154c272b350
hex2deee9018

12330111000 has 128 divisors (see below), whose sum is σ = 38701877760. Its totient is φ = 3268208000.

The previous prime is 12330110983. The next prime is 12330111011. The reversal of 12330111000 is 11103321.

12330111000 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488695 + ... + 513305.

It is an arithmetic number, because the mean of its divisors is an integer number (302358420).

Almost surely, 212330111000 is an apocalyptic number.

12330111000 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 12330111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19350938880).

12330111000 is an abundant number, since it is smaller than the sum of its proper divisors (26371766760).

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

12330111000 is a wasteful number, since it uses less digits than its factorization.

12330111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24802 (or 24788 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12330111000 its reverse (11103321), we get a palindrome (12341214321).

The spelling of 12330111000 in words is "twelve billion, three hundred thirty million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 167 200 250 300 334 375 500 501 600 668 750 835 1000 1002 1336 1500 1670 2004 2505 3000 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 20875 24611 25050 33400 41750 49222 50100 62625 73833 83500 98444 100200 123055 125250 147666 167000 196888 246110 250500 295332 369165 492220 501000 590664 615275 738330 984440 1230550 1476660 1845825 2461100 2953320 3076375 3691650 4110037 4922200 6152750 7383300 8220074 9229125 12305500 12330111 14766600 16440148 18458250 20550185 24611000 24660222 32880296 36916500 41100370 49320444 61650555 73833000 82200740 98640888 102750925 123301110 164401480 205501850 246602220 308252775 411003700 493204440 513754625 616505550 822007400 1027509250 1233011100 1541263875 2055018500 2466022200 3082527750 4110037000 6165055500 12330111000