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12300344232 = 23311371259249
BaseRepresentation
bin10110111010010100…
…00101101110101000
31011202020021020011220
423131022011232220
5200142342003412
65352315022040
7613546125621
oct133512055650
934666236156
1012300344232
115242250750
12247343a920
1312104531c7
14849880a48
154beceb68c
hex2dd285ba8

12300344232 has 64 divisors (see below), whose sum is σ = 34453080000. Its totient is φ = 3626634240.

The previous prime is 12300344219. The next prime is 12300344233. The reversal of 12300344232 is 23244300321.

12300344232 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 (24).

It is not an unprimeable number, because it can be changed into a prime (12300344233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 619857 + ... + 639392.

It is an arithmetic number, because the mean of its divisors is an integer number (538329375).

Almost surely, 212300344232 is an apocalyptic number.

12300344232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300344232 is an abundant number, since it is smaller than the sum of its proper divisors (22152735768).

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

12300344232 is a wasteful number, since it uses less digits than its factorization.

12300344232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259306 (or 1259302 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12300344232 its reverse (23244300321), we get a palindrome (35544644553).

The spelling of 12300344232 in words is "twelve billion, three hundred million, three hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 1259249 2518498 3777747 5036996 7555494 10073992 13851739 15110988 27703478 30221976 41555217 46592213 55406956 83110434 93184426 110813912 139776639 166220868 186368852 279553278 332441736 372737704 512514343 559106556 1025028686 1118213112 1537543029 2050057372 3075086058 4100114744 6150172116 12300344232