Search a number
-
+
20303213110020 = 22325374764862351
BaseRepresentation
bin1001001110111001101011…
…10011100010001100000100
32122212222010211102102201200
410213130311303202030010
510130121440024010040
6111103100051222500
74163600355646041
oct447346563421404
978788124372650
1020303213110020
1165185a9551465
12233aa94ba7a30
13b4377a9c1479
14502975ddc1c8
152531ee682630
hex127735ce2304

20303213110020 has 144 divisors (see below), whose sum is σ = 64596675806208. Its totient is φ = 5155778476800.

The previous prime is 20303213110007. The next prime is 20303213110021. The reversal of 20303213110020 is 2001131230302.

20303213110020 is a `hidden beast` number, since 2 + 0 + 30 + 321 + 311 + 0 + 0 + 2 + 0 = 666.

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 = 20303213109975 and 20303213110002.

It is not an unprimeable number, because it can be changed into a prime (20303213110021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32118156 + ... + 32744195.

It is an arithmetic number, because the mean of its divisors is an integer number (448588026432).

Almost surely, 220303213110020 is an apocalyptic number.

20303213110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20303213110020 is an abundant number, since it is smaller than the sum of its proper divisors (44293462696188).

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

20303213110020 is a wasteful number, since it uses less digits than its factorization.

20303213110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64862450 (or 64862445 counting only the distinct ones).

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

Adding to 20303213110020 its reverse (2001131230302), we get a palindrome (22304344340322).

The spelling of 20303213110020 in words is "twenty trillion, three hundred three billion, two hundred thirteen million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 47 60 74 90 94 111 141 148 180 185 188 222 235 282 333 370 423 444 470 555 564 666 705 740 846 940 1110 1332 1410 1665 1692 1739 2115 2220 2820 3330 3478 4230 5217 6660 6956 8460 8695 10434 15651 17390 20868 26085 31302 34780 52170 62604 78255 104340 156510 313020 64862351 129724702 194587053 259449404 324311755 389174106 583761159 648623510 778348212 972935265 1167522318 1297247020 1945870530 2335044636 2399906987 2918805795 3048530497 3891741060 4799813974 5837611590 6097060994 7199720961 9145591491 9599627948 11675223180 11999534935 12194121988 14399441922 15242652485 18291182982 21599162883 23999069870 27436774473 28798883844 30485304970 35998604805 36582365964 43198325766 45727957455 47998139740 54873548946 60970609940 71997209610 86396651532 91455914910 107995814415 109747097892 112795628389 137183872365 143994419220 182911829820 215991628830 225591256778 274367744730 338386885167 431983257660 451182513556 548735489460 563978141945 676773770334 1015160655501 1127956283890 1353547540668 1691934425835 2030321311002 2255912567780 3383868851670 4060642622004 5075803277505 6767737703340 10151606555010 20303213110020