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11323110320 = 2452923320947
BaseRepresentation
bin10101000101110100…
…01111001110110000
31002020010102121021022
422202322033032300
5141142204012240
65111325315012
7550411564304
oct124272171660
932203377238
1011323110320
114890667415
122240105a68
1310b5b574a2
14795b7bd04
154641159b5
hex2a2e8f3b0

11323110320 has 80 divisors (see below), whose sum is σ = 27352222560. Its totient is φ = 4354086912.

The previous prime is 11323110283. The next prime is 11323110341. The reversal of 11323110320 is 2301132311.

11323110320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 530087 + ... + 551033.

It is an arithmetic number, because the mean of its divisors is an integer number (341902782).

Almost surely, 211323110320 is an apocalyptic number.

11323110320 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 11323110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676111280).

11323110320 is an abundant number, since it is smaller than the sum of its proper divisors (16029112240).

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

11323110320 is a wasteful number, since it uses less digits than its factorization.

11323110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21222 (or 21216 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11323110320 its reverse (2301132311), we get a palindrome (13624242631).

The spelling of 11323110320 in words is "eleven billion, three hundred twenty-three million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 233 290 464 466 580 932 1160 1165 1864 2320 2330 3728 4660 6757 9320 13514 18640 20947 27028 33785 41894 54056 67570 83788 104735 108112 135140 167576 209470 270280 335152 418940 540560 607463 837880 1214926 1675760 2429852 3037315 4859704 4880651 6074630 9719408 9761302 12149260 19522604 24298520 24403255 39045208 48597040 48806510 78090416 97613020 141538879 195226040 283077758 390452080 566155516 707694395 1132311032 1415388790 2264622064 2830777580 5661555160 11323110320