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6630503317100 = 22521341971282471
BaseRepresentation
bin110000001111100100011…
…0010110111111001101100
3212110212111011202200000122
41200133020302313321230
51332113232322121400
622034002225144112
71253016024165635
oct140371062677154
925425434680018
106630503317100
112126a872a1623
128b105218b038
1339133b729260
1418ccbd29888c
15b771bc00685
hex607c8cb7e6c

6630503317100 has 144 divisors (see below), whose sum is σ = 16036553136576. Its totient is φ = 2363848704000.

The previous prime is 6630503317033. The next prime is 6630503317103. The reversal of 6630503317100 is 17133050366.

It is not an unprimeable number, because it can be changed into a prime (6630503317103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4528865 + ... + 5811335.

Almost surely, 26630503317100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6630503317100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018276568288).

6630503317100 is an abundant number, since it is smaller than the sum of its proper divisors (9406049819476).

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

6630503317100 is a wasteful number, since it uses less digits than its factorization.

6630503317100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282636 (or 1282629 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

Adding to 6630503317100 its reverse (17133050366), we get a palindrome (6647636367466).

The spelling of 6630503317100 in words is "six trillion, six hundred thirty billion, five hundred three million, three hundred seventeen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 97 100 130 164 194 205 260 325 388 410 485 533 650 820 970 1025 1066 1261 1300 1940 2050 2132 2425 2522 2665 3977 4100 4850 5044 5330 6305 7954 9700 10660 12610 13325 15908 19885 25220 26650 31525 39770 51701 53300 63050 79540 99425 103402 126100 198850 206804 258505 397700 517010 1034020 1282471 1292525 2564942 2585050 5129884 5170100 6412355 12824710 16672123 25649420 32061775 33344246 52581311 64123550 66688492 83360615 105162622 124399687 128247100 166721230 210325244 248799374 262906555 333442460 416803075 497598748 525813110 621998435 683557043 833606150 1051626220 1243996870 1314532775 1367114086 1617195931 1667212300 2487993740 2629065550 2734228172 3109992175 3234391862 3417785215 5100387167 5258131100 6219984350 6468783724 6835570430 8085979655 10200774334 12439968700 13671140860 16171959310 17088926075 20401548668 25501935835 32343918620 34177852150 40429898275 51003871670 66305033171 68355704300 80859796550 102007743340 127509679175 132610066342 161719593100 255019358350 265220132684 331525165855 510038716700 663050331710 1326100663420 1657625829275 3315251658550 6630503317100