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12301301012 = 22711134174933
BaseRepresentation
bin10110111010011011…
…01111010100010100
31011202022001211122012
423131031233110110
5200143113113022
65352351323352
7613560222230
oct133515572424
934668054565
1012301301012
115242844580
122473820558
1312106c9850
14849a4d5c0
154bee39de2
hex2dd36f514

12301301012 has 96 divisors (see below), whose sum is σ = 29609121024. Its totient is φ = 4316083200.

The previous prime is 12301301011. The next prime is 12301301039. The reversal of 12301301012 is 21010310321.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301301011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126698 + ... + 201630.

It is an arithmetic number, because the mean of its divisors is an integer number (308428344).

Almost surely, 212301301012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301301012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14804560512).

12301301012 is an abundant number, since it is smaller than the sum of its proper divisors (17307820012).

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

12301301012 is a wasteful number, since it uses less digits than its factorization.

12301301012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75009 (or 75007 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12301301012 its reverse (21010310321), we get a palindrome (33311611333).

It can be divided in two parts, 12301 and 301012, that added together give a palindrome (313313).

The spelling of 12301301012 in words is "twelve billion, three hundred one million, three hundred one thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 41 44 52 77 82 91 143 154 164 182 286 287 308 364 451 533 572 574 902 1001 1066 1148 1804 2002 2132 3157 3731 4004 5863 6314 7462 11726 12628 14924 23452 41041 74933 82082 149866 164164 299732 524531 824263 974129 1049062 1648526 1948258 2098124 3072253 3297052 3896516 5769841 6144506 6818903 10715419 11539682 12289012 13637806 21430838 21505771 23079364 27275612 33794783 39939289 42861676 43011542 67589566 75007933 79878578 86023084 135179132 150015866 159757156 236563481 279575023 300031732 439332179 473126962 559150046 878664358 946253924 1118300092 1757328716 3075325253 6150650506 12301301012