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2312230302300 = 22352193171279667
BaseRepresentation
bin100001101001011011101…
…010100111001001011100
322012001021022020121102110
4201221123222213021130
5300340421424133200
64530120211554020
7326024136166422
oct41513352471134
98161238217373
102312230302300
1181167a7a9236
123141612bb910
1313a072161539
147dcac03d112
154022e24eb50
hex21a5baa725c

2312230302300 has 144 divisors (see below), whose sum is σ = 7064381600640. Its totient is φ = 582299216640.

The previous prime is 2312230302293. The next prime is 2312230302323. The reversal of 2312230302300 is 32030322132.

2312230302300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167067 + ... + 2446733.

It is an arithmetic number, because the mean of its divisors is an integer number (49058205560).

Almost surely, 22312230302300 is an apocalyptic number.

2312230302300 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 2312230302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532190800320).

2312230302300 is an abundant number, since it is smaller than the sum of its proper divisors (4752151298340).

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

2312230302300 is a wasteful number, since it uses less digits than its factorization.

2312230302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280020 (or 1280013 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2312230302300 its reverse (32030322132), we get a palindrome (2344260624432).

The spelling of 2312230302300 in words is "two trillion, three hundred twelve billion, two hundred thirty million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 317 380 475 570 634 950 951 1140 1268 1425 1585 1900 1902 2850 3170 3804 4755 5700 6023 6340 7925 9510 12046 15850 18069 19020 23775 24092 30115 31700 36138 47550 60230 72276 90345 95100 120460 150575 180690 301150 361380 451725 602300 903450 1279667 1806900 2559334 3839001 5118668 6398335 7678002 12796670 15356004 19195005 24313673 25593340 31991675 38390010 48627346 63983350 72941019 76780020 95975025 97254692 121568365 127966700 145882038 191950050 243136730 291764076 364705095 383900100 405654439 486273460 607841825 729410190 811308878 1215683650 1216963317 1458820380 1622617756 1823525475 2028272195 2431367300 2433926634 3647050950 4056544390 4867853268 6084816585 7294101900 7707434341 8113088780 10141360975 12169633170 15414868682 20282721950 23122303023 24339266340 30424082925 30829737364 38537171705 40565443900 46244606046 60848165850 77074343410 92489212092 115611515115 121696331700 154148686820 192685858525 231223030230 385371717050 462446060460 578057575575 770743434100 1156115151150 2312230302300