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23201103300 = 22352197095741
BaseRepresentation
bin10101100110111001…
…001011110111000100
32012212220222011110020
4111212321023313010
5340003440301200
614354120055140
71450642060404
oct254671136704
965786864406
1023201103300
119926466341
1245b60044b0
1322599416bb
1411a14ba804
1590bcd5ea0
hex566e4bdc4

23201103300 has 144 divisors (see below), whose sum is σ = 70773595200. Its totient is φ = 5852044800.

The previous prime is 23201103257. The next prime is 23201103323. The reversal of 23201103300 is 330110232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23201103300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4038430 + ... + 4044170.

It is an arithmetic number, because the mean of its divisors is an integer number (491483300).

Almost surely, 223201103300 is an apocalyptic number.

23201103300 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 23201103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35386797600).

23201103300 is an abundant number, since it is smaller than the sum of its proper divisors (47572491900).

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

23201103300 is a wasteful number, since it uses less digits than its factorization.

23201103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23201103300 its reverse (330110232), we get a palindrome (23531213532).

The spelling of 23201103300 in words is "twenty-three billion, two hundred one million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 709 950 1140 1418 1425 1900 2127 2836 2850 3545 4254 5700 5741 7090 8508 10635 11482 13471 14180 17223 17725 21270 22964 26942 28705 34446 35450 40413 42540 53175 53884 57410 67355 68892 70900 80826 86115 106350 109079 114820 134710 143525 161652 172230 202065 212700 218158 269420 287050 327237 336775 344460 404130 430575 436316 545395 574100 654474 673550 808260 861150 1010325 1090790 1308948 1347100 1636185 1722300 2020650 2181580 2726975 3272370 4041300 4070369 5453950 6544740 8140738 8180925 10907900 12211107 16281476 16361850 20351845 24422214 32723700 40703690 48844428 61055535 77337011 81407380 101759225 122111070 154674022 203518450 232011033 244222140 305277675 309348044 386685055 407036900 464022066 610555350 773370110 928044132 1160055165 1221110700 1546740220 1933425275 2320110330 3866850550 4640220660 5800275825 7733701100 11600551650 23201103300