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12300002232 = 2337296314001
BaseRepresentation
bin10110111010010001…
…10010001110111000
31011202012121212001020
423131020302032320
5200142300032412
65352303422440
7613543202550
oct133510621670
934665555036
1012300002232
115242037801
1224732b4a20
13121036363b
148497d2160
154bec8018c
hex2dd2323b8

12300002232 has 128 divisors (see below), whose sum is σ = 36421401600. Its totient is φ = 3386880000.

The previous prime is 12300002219. The next prime is 12300002233. The reversal of 12300002232 is 23220000321.

12300002232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300002233) 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 31 ways as a sum of consecutive naturals, for example, 3072232 + ... + 3076232.

It is an arithmetic number, because the mean of its divisors is an integer number (284542200).

Almost surely, 212300002232 is an apocalyptic number.

12300002232 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 12300002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18210700800).

12300002232 is an abundant number, since it is smaller than the sum of its proper divisors (24121399368).

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

12300002232 is a wasteful number, since it uses less digits than its factorization.

12300002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12300002232 its reverse (23220000321), we get a palindrome (35520002553).

The spelling of 12300002232 in words is "twelve billion, three hundred million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 631 696 812 1218 1262 1624 1893 2436 2524 3786 4001 4417 4872 5048 7572 8002 8834 12003 13251 15144 16004 17668 18299 24006 26502 28007 32008 35336 36598 48012 53004 54897 56014 73196 84021 96024 106008 109794 112028 116029 128093 146392 168042 219588 224056 232058 256186 336084 348087 384279 439176 464116 512372 672168 696174 768558 812203 928232 1024744 1392348 1537116 1624406 2436609 2524631 2784696 3074232 3248812 4873218 5049262 6497624 7573893 9746436 10098524 15147786 17672417 19492872 20197048 30295572 35344834 53017251 60591144 70689668 73214299 106034502 141379336 146428598 212069004 219642897 292857196 424138008 439285794 512500093 585714392 878571588 1025000186 1537500279 1757143176 2050000372 3075000558 4100000744 6150001116 12300002232