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12003230310 = 2353767715973
BaseRepresentation
bin10110010110111001…
…01100001001100110
31010222112012021111120
423023130230021212
5144040311332220
65303022514410
7603310526361
oct131334541146
933875167446
1012003230310
1150aa568655
1223aba35a06
131193a25c56
1481c21d0d8
154a3baca40
hex2cb72c266

12003230310 has 64 divisors (see below), whose sum is σ = 29631897792. Its totient is φ = 3109556736.

The previous prime is 12003230243. The next prime is 12003230329. The reversal of 12003230310 is 1303230021.

12003230310 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120032303102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12003230310.

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, 743484 + ... + 759456.

It is an arithmetic number, because the mean of its divisors is an integer number (462998403).

Almost surely, 212003230310 is an apocalyptic number.

12003230310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003230310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815948896).

12003230310 is an abundant number, since it is smaller than the sum of its proper divisors (17628667482).

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

12003230310 is a wasteful number, since it uses less digits than its factorization.

12003230310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16697.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12003230310 its reverse (1303230021), we get a palindrome (13306460331).

The spelling of 12003230310 in words is "twelve billion, three million, two hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 677 1110 1354 2031 3385 4062 6770 10155 15973 20310 25049 31946 47919 50098 75147 79865 95838 125245 150294 159730 239595 250490 375735 479190 591001 751470 1182002 1773003 2955005 3546006 5910010 8865015 10813721 17730030 21627442 32441163 54068605 64882326 108137210 162205815 324411630 400107677 800215354 1200323031 2000538385 2400646062 4001076770 6001615155 12003230310