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12211300230030 = 23351140211022519
BaseRepresentation
bin1011000110110010101000…
…1101100110001110001110
31121020101111111201221201000
42301230222031212032032
53100032220324330110
641545443251201130
72400144255230406
oct261545215461616
947211444657630
1012211300230030
1139888686a5090
12145276b8a61a6
136a769cbb4ab5
1430305c7a3806
1516299d48b1c0
hexb1b2a36638e

12211300230030 has 128 divisors (see below), whose sum is σ = 35532651801600. Its totient is φ = 2959576099200.

The previous prime is 12211300230013. The next prime is 12211300230047. The reversal of 12211300230030 is 3003200311221.

12211300230030 is a `hidden beast` number, since 1 + 22 + 11 + 300 + 2 + 300 + 30 = 666.

12211300230030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12211300230013) and next prime (12211300230047).

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 = 12211300229985 and 12211300230012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11431111 + ... + 12453629.

It is an arithmetic number, because the mean of its divisors is an integer number (277598842200).

Almost surely, 212211300230030 is an apocalyptic number.

12211300230030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211300230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766325900800).

12211300230030 is an abundant number, since it is smaller than the sum of its proper divisors (23321351571570).

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

12211300230030 is a wasteful number, since it uses less digits than its factorization.

12211300230030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026567 (or 1026561 counting only the distinct ones).

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

Adding to 12211300230030 its reverse (3003200311221), we get a palindrome (15214500541251).

The spelling of 12211300230030 in words is "twelve trillion, two hundred eleven billion, three hundred million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4021 8042 12063 20105 24126 36189 40210 44231 60315 72378 88462 108567 120630 132693 180945 217134 221155 265386 361890 398079 442310 542835 663465 796158 1022519 1085670 1194237 1326930 1990395 2045038 2388474 3067557 3980790 5112595 5971185 6135114 9202671 10225190 11247709 11942370 15337785 18405342 22495418 27608013 30675570 33743127 46013355 55216026 56238545 67486254 92026710 101229381 112477090 138040065 168715635 202458762 276080130 303688143 337431270 506146905 607376286 1012293810 1518440715 3036881430 4111548899 8223097798 12334646697 20557744495 24669293394 37003940091 41115488990 45227037889 61673233485 74007880182 90454075778 111011820273 123346466970 135681113667 185019700455 222023640546 226135189445 271362227334 370039400910 407043341001 452270378890 555059101365 678405568335 814086682002 1110118202730 1221130023003 1356811136670 2035216705005 2442260046006 4070433410010 6105650115015 12211300230030