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12304440330 = 23571331145391
BaseRepresentation
bin10110111010110011…
…01101110000001010
31011202111222022222020
423131121231300022
5200144414042310
65352542505310
7613626005610
oct133531556012
934674868866
1012304440330
115244599156
122474895236
131211258730
1484a2296b0
154c035a170
hex2dd66dc0a

12304440330 has 128 divisors (see below), whose sum is σ = 37518114816. Its totient is φ = 2512339200.

The previous prime is 12304440293. The next prime is 12304440347. The reversal of 12304440330 is 3304440321.

It is a self number, because there is not a number n which added to its sum of digits gives 12304440330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11935 + ... + 157325.

It is an arithmetic number, because the mean of its divisors is an integer number (293110272).

Almost surely, 212304440330 is an apocalyptic number.

12304440330 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 12304440330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18759057408).

12304440330 is an abundant number, since it is smaller than the sum of its proper divisors (25213674486).

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

12304440330 is a wasteful number, since it uses less digits than its factorization.

12304440330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145452.

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

Adding to 12304440330 its reverse (3304440321), we get a palindrome (15608880651).

Subtracting from 12304440330 its reverse (3304440321), we obtain a palindrome (9000000009).

The spelling of 12304440330 in words is "twelve billion, three hundred four million, four hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 651 806 910 930 1085 1209 1302 1365 2015 2170 2418 2730 2821 3255 4030 5642 6045 6510 8463 12090 14105 16926 28210 42315 84630 145391 290782 436173 726955 872346 1017737 1453910 1890083 2035474 2180865 3053211 3780166 4361730 4507121 5088685 5670249 6106422 9014242 9450415 10177370 11340498 13230581 13521363 15266055 18900830 22535605 26461162 27042726 28351245 30532110 31549847 39691743 45071210 56702490 58592573 63099694 66152905 67606815 79383486 94649541 117185146 132305810 135213630 157749235 175777719 189299082 198458715 292962865 315498470 351555438 396917430 410148011 473247705 585925730 820296022 878888595 946495410 1230444033 1757777190 2050740055 2460888066 4101480110 6152220165 12304440330