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12001310340 = 223571239679
BaseRepresentation
bin10110010110101010…
…10111011010000100
31010222101120201210120
423023111113122010
5144034313412330
65302513421540
7603255311655
oct131325273204
933871521716
1012001310340
1150a94770a8
1223ab26a8b0
131193503086
1481bc7d52c
154a392dc10
hex2cb557684

12001310340 has 72 divisors (see below), whose sum is σ = 34084485120. Its totient is φ = 3155194560.

The previous prime is 12001310339. The next prime is 12001310351. The reversal of 12001310340 is 4301310021.

12001310340 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 (15).

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 23 ways as a sum of consecutive naturals, for example, 282621 + ... + 322299.

Almost surely, 212001310340 is an apocalyptic number.

12001310340 is a gapful number since it is divisible by the number (10) 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 12001310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17042242560).

12001310340 is an abundant number, since it is smaller than the sum of its proper divisors (22083174780).

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

12001310340 is a wasteful number, since it uses less digits than its factorization.

12001310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39833 (or 39760 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12001310340 its reverse (4301310021), we get a palindrome (16302620361).

The spelling of 12001310340 in words is "twelve billion, one million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 5041 10082 15123 20164 25205 30246 39679 50410 60492 75615 79358 100820 119037 151230 158716 198395 238074 302460 396790 476148 595185 793580 1190370 2380740 2817209 5634418 8451627 11268836 14086045 16903254 28172090 33806508 42258135 56344180 84516270 169032540 200021839 400043678 600065517 800087356 1000109195 1200131034 2000218390 2400262068 3000327585 4000436780 6000655170 12001310340