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12030323232 = 2531391635531
BaseRepresentation
bin10110011010001000…
…00010101000100000
31011001102011202000010
423031010002220200
5144114230320412
65305431324520
7604060026444
oct131504025040
934042152003
1012030323232
1151138929a4
1223b8b20740
131199520975
14821a72824
154a626033c
hex2cd102a20

12030323232 has 96 divisors (see below), whose sum is σ = 32007709440. Its totient is φ = 3956117760.

The previous prime is 12030323209. The next prime is 12030323251. The reversal of 12030323232 is 23232303021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12030323199 and 12030323208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172307 + ... + 2177837.

It is an arithmetic number, because the mean of its divisors is an integer number (333413640).

Almost surely, 212030323232 is an apocalyptic number.

12030323232 is a gapful number since it is divisible by the number (12) 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 12030323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003854720).

12030323232 is an abundant number, since it is smaller than the sum of its proper divisors (19977386208).

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

12030323232 is a wasteful number, since it uses less digits than its factorization.

12030323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12030323232 its reverse (23232303021), we get a palindrome (35262626253).

The spelling of 12030323232 in words is "twelve billion, thirty million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 163 278 326 417 489 556 652 834 978 1112 1304 1668 1956 2224 2608 3336 3912 4448 5216 5531 6672 7824 11062 13344 15648 16593 22124 22657 33186 44248 45314 66372 67971 88496 90628 132744 135942 176992 181256 265488 271884 362512 530976 543768 725024 768809 901553 1087536 1537618 1803106 2175072 2306427 2704659 3075236 3606212 4612854 5409318 6150472 7212424 9225708 10818636 12300944 14424848 18451416 21637272 24601888 28849696 36902832 43274544 73805664 86549088 125315867 250631734 375947601 501263468 751895202 1002526936 1503790404 2005053872 3007580808 4010107744 6015161616 12030323232