Search a number
-
+
12110318616 = 233112313671459
BaseRepresentation
bin10110100011101010…
…01100110000011000
31011020222200221001010
423101311030300120
5144300220143431
65321410053520
7606051003234
oct132165146030
934228627033
1012110318616
115154a60690
12241b87a2a0
1311acc7bc06
1482c5375c4
154ad2b2846
hex2d1d4cc18

12110318616 has 128 divisors (see below), whose sum is σ = 34512998400. Its totient is φ = 3505265280.

The previous prime is 12110318537. The next prime is 12110318617. The reversal of 12110318616 is 61681301121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110318617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8299695 + ... + 8301153.

It is an arithmetic number, because the mean of its divisors is an integer number (269632800).

Almost surely, 212110318616 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 12110318616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17256499200).

12110318616 is an abundant number, since it is smaller than the sum of its proper divisors (22402679784).

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

12110318616 is a wasteful number, since it uses less digits than its factorization.

12110318616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

Adding to 12110318616 its reverse (61681301121), we get a palindrome (73791619737).

The spelling of 12110318616 in words is "twelve billion, one hundred ten million, three hundred eighteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1367 1459 1518 2024 2734 2918 3036 4101 4377 5468 5836 6072 8202 8754 10936 11672 15037 16049 16404 17508 30074 31441 32098 32808 33557 35016 45111 48147 60148 62882 64196 67114 90222 94323 96294 100671 120296 125764 128392 134228 180444 188646 192588 201342 251528 268456 345851 360888 369127 377292 385176 402684 691702 738254 754584 805368 1037553 1107381 1383404 1476508 1994453 2075106 2214762 2766808 2953016 3988906 4150212 4429524 5983359 7977812 8300424 8859048 11966718 15955624 21938983 23933436 43877966 45872419 47866872 65816949 87755932 91744838 131633898 137617257 175511864 183489676 263267796 275234514 366979352 504596609 526535592 550469028 1009193218 1100938056 1513789827 2018386436 3027579654 4036772872 6055159308 12110318616