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12331300300 = 22521161718169
BaseRepresentation
bin10110111110000000…
…01011010111001100
31011211101111221220221
423133000023113030
5200223303102200
65355342321124
7614403215554
oct133700132714
934741457827
1012331300300
115258774480
1224818891a4
1312169a13c7
1484da1c164
154c28b391a
hex2df00b5cc

12331300300 has 72 divisors (see below), whose sum is σ = 29240472240. Its totient is φ = 4476595200.

The previous prime is 12331300297. The next prime is 12331300351. The reversal of 12331300300 is 300313321.

12331300300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 669616 + ... + 687784.

It is an arithmetic number, because the mean of its divisors is an integer number (406117670).

Almost surely, 212331300300 is an apocalyptic number.

12331300300 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 12331300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620236120).

12331300300 is an abundant number, since it is smaller than the sum of its proper divisors (16909171940).

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

12331300300 is a wasteful number, since it uses less digits than its factorization.

12331300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18811 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 12331300300 its reverse (300313321), we get a palindrome (12631613621).

The spelling of 12331300300 in words is "twelve billion, three hundred thirty-one million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 617 1100 1234 2468 3085 6170 6787 12340 13574 15425 18169 27148 30850 33935 36338 61700 67870 72676 90845 135740 169675 181690 199859 339350 363380 399718 454225 678700 799436 908450 999295 1816900 1998590 3997180 4996475 9992950 11210273 19985900 22420546 44841092 56051365 112102730 123313003 224205460 246626006 280256825 493252012 560513650 616565015 1121027300 1233130030 2466260060 3082825075 6165650150 12331300300