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12230321100 = 22352199349587
BaseRepresentation
bin10110110001111101…
…11110001111001100
31011120100111200111120
423120332332033030
5200021430233400
65341334120540
7612036004554
oct133076761714
934510450446
1012230321100
115206774298
122453ab0150
1311cbaa6cba
14840454164
154b8ab8ca0
hex2d8fbe3cc

12230321100 has 144 divisors (see below), whose sum is σ = 35726880000. Its totient is φ = 3230219520.

The previous prime is 12230321099. The next prime is 12230321141. The reversal of 12230321100 is 112303221.

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 12230321100.

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, 20835007 + ... + 20835593.

Almost surely, 212230321100 is an apocalyptic number.

12230321100 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 12230321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863440000).

12230321100 is an abundant number, since it is smaller than the sum of its proper divisors (23496558900).

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

12230321100 is a wasteful number, since it uses less digits than its factorization.

12230321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12230321100 its reverse (112303221), we get a palindrome (12342624321).

The spelling of 12230321100 in words is "twelve billion, two hundred thirty million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 349 398 587 597 698 796 995 1047 1174 1194 1396 1745 1761 1990 2094 2348 2388 2935 2985 3490 3522 3980 4188 4975 5235 5870 5970 6980 7044 8725 8805 9950 10470 11740 11940 14675 14925 17450 17610 19900 20940 26175 29350 29850 34900 35220 44025 52350 58700 59700 69451 88050 104700 116813 138902 176100 204863 208353 233626 277804 347255 350439 409726 416706 467252 584065 614589 694510 700878 819452 833412 1024315 1041765 1168130 1229178 1389020 1401756 1736275 1752195 2048630 2083530 2336260 2458356 2920325 3072945 3472550 3504390 4097260 4167060 5121575 5208825 5840650 6145890 6945100 7008780 8760975 10243150 10417650 11681300 12291780 15364725 17521950 20486300 20835300 30729450 35043900 40767737 61458900 81535474 122303211 163070948 203838685 244606422 407677370 489212844 611516055 815354740 1019193425 1223032110 2038386850 2446064220 3057580275 4076773700 6115160550 12230321100