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21142442311320 = 23351163125383521
BaseRepresentation
bin1001100111010100110111…
…10000110111111010011000
32202212012100011020002011210
410303222123300313322120
510232344210212430240
6112544412013423120
74311330300316251
oct463523360677230
982765304202153
1021142442311320
116811506558780
12245566919aaa0
13ba4954122a95
1453142a407b28
15269e6b951780
hex133a9bc37e98

21142442311320 has 128 divisors (see below), whose sum is σ = 69303107105280. Its totient is φ = 5117317632000.

The previous prime is 21142442311307. The next prime is 21142442311343. The reversal of 21142442311320 is 2311324424112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11858841 + ... + 13524680.

It is an arithmetic number, because the mean of its divisors is an integer number (541430524260).

Almost surely, 221142442311320 is an apocalyptic number.

21142442311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142442311320 is an abundant number, since it is smaller than the sum of its proper divisors (48160664793960).

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

21142442311320 is a wasteful number, since it uses less digits than its factorization.

21142442311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25384177 (or 25384173 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 21142442311320 its reverse (2311324424112), we get a palindrome (23453766735432).

The spelling of 21142442311320 in words is "twenty-one trillion, one hundred forty-two billion, four hundred forty-two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 631 660 1262 1320 1893 2524 3155 3786 5048 6310 6941 7572 9465 12620 13882 15144 18930 20823 25240 27764 34705 37860 41646 55528 69410 75720 83292 104115 138820 166584 208230 277640 416460 832920 25383521 50767042 76150563 101534084 126917605 152301126 203068168 253835210 279218731 304602252 380752815 507670420 558437462 609204504 761505630 837656193 1015340840 1116874924 1396093655 1523011260 1675312386 2233749848 2792187310 3046022520 3350624772 4188280965 5584374620 6701249544 8376561930 11168749240 16017001751 16753123860 32034003502 33506247720 48051005253 64068007004 80085008755 96102010506 128136014008 160170017510 176187019261 192204021012 240255026265 320340035020 352374038522 384408042024 480510052530 528561057783 640680070040 704748077044 880935096305 961020105060 1057122115566 1409496154088 1761870192610 1922040210120 2114244231132 2642805288915 3523740385220 4228488462264 5285610577830 7047480770440 10571221155660 21142442311320