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2321131320 = 2332519133757
BaseRepresentation
bin1000101001011001…
…1010011100111000
312222202121200120200
42022112122130320
514223202200240
61022153522200
7111343201464
oct21226323470
95882550520
102321131320
11a91244352
12549413360
132acb634b1
141803ad4a4
15d8b97930
hex8a59a738

2321131320 has 96 divisors (see below), whose sum is σ = 7583397120. Its totient is φ = 615709440.

The previous prime is 2321131301. The next prime is 2321131369. The reversal of 2321131320 is 231311232.

2321131320 is a `hidden beast` number, since 232 + 113 + 1 + 320 = 666.

It is a super-3 number, since 3×23211313203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2321131293 and 2321131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51882 + ... + 85638.

It is an arithmetic number, because the mean of its divisors is an integer number (78993720).

Almost surely, 22321131320 is an apocalyptic number.

2321131320 is a gapful number since it is divisible by the number (20) 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 2321131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791698560).

2321131320 is an abundant number, since it is smaller than the sum of its proper divisors (5262265800).

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

2321131320 is a wasteful number, since it uses less digits than its factorization.

2321131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33965 (or 33958 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2321131320 is about 48178.1207603618. The cubic root of 2321131320 is about 1324.0363364464.

Adding to 2321131320 its reverse (231311232), we get a palindrome (2552442552).

The spelling of 2321131320 in words is "two billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 191 360 382 573 764 955 1146 1528 1719 1910 2292 2865 3438 3820 4584 5730 6876 7640 8595 11460 13752 17190 22920 33757 34380 67514 68760 101271 135028 168785 202542 270056 303813 337570 405084 506355 607626 675140 810168 1012710 1215252 1350280 1519065 2025420 2430504 3038130 4050840 6076260 6447587 12152520 12895174 19342761 25790348 32237935 38685522 51580696 58028283 64475870 77371044 96713805 116056566 128951740 154742088 193427610 232113132 257903480 290141415 386855220 464226264 580282830 773710440 1160565660 2321131320