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220321113010020 = 2232511353315221783
BaseRepresentation
bin110010000110000110000001…
…101011010110111101100100
31001220002111022011212121221100
4302012012001223112331210
5212334220114412310040
62100330042205520100
764256450366026131
oct6206060153267544
91056074264777840
10220321113010020
11642237285975a0
122086385ab73030
1395c2265533749
143c59855033588
151a710cee05b30
hexc86181ad6f64

220321113010020 has 144 divisors (see below), whose sum is σ = 731127927583872. Its totient is φ = 53259872286720.

The previous prime is 220321113009997. The next prime is 220321113010057. The reversal of 220321113010020 is 20010311123022.

220321113010020 is a `hidden beast` number, since 2 + 20 + 321 + 1 + 1 + 301 + 0 + 0 + 20 = 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 = 220321113009975 and 220321113010002.

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, 156911952 + ... + 158309831.

It is an arithmetic number, because the mean of its divisors is an integer number (5077277274888).

Almost surely, 2220321113010020 is an apocalyptic number.

220321113010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220321113010020 is an abundant number, since it is smaller than the sum of its proper divisors (510806814573852).

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

220321113010020 is a wasteful number, since it uses less digits than its factorization.

220321113010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315222162 (or 315222157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220321113010020 its reverse (20010311123022), we get a palindrome (240331424133042).

The spelling of 220321113010020 in words is "two hundred twenty trillion, three hundred twenty-one billion, one hundred thirteen million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 353 396 495 660 706 990 1059 1412 1765 1980 2118 3177 3530 3883 4236 5295 6354 7060 7766 10590 11649 12708 15532 15885 19415 21180 23298 31770 34947 38830 46596 58245 63540 69894 77660 116490 139788 174735 232980 349470 698940 315221783 630443566 945665349 1260887132 1576108915 1891330698 2836996047 3152217830 3467439613 3782661396 4728326745 5673992094 6304435660 6934879226 9456653490 10402318839 11347984188 13869758452 14184980235 17337198065 18913306980 20804637678 28369960470 31206956517 34674396130 41609275356 52011594195 56739920940 62413913034 69348792260 104023188390 111273289399 124827826068 156034782585 208046376780 222546578798 312069565170 333819868197 445093157596 556366446995 624139130340 667639736394 1001459604591 1112732893990 1224006183389 1335279472788 1669099340985 2002919209182 2225465787980 2448012366778 3338198681970 3672018550167 4005838418364 4896024733556 5007298022955 6120030916945 6676397363940 7344037100334 10014596045910 11016055650501 12240061833890 14688074200668 18360092750835 20029192091820 22032111301002 24480123667780 36720185501670 44064222602004 55080278252505 73440371003340 110160556505010 220321113010020