Search a number
-
+
215321030111520 = 25325243761357609
BaseRepresentation
bin110000111101010101010101…
…100000110011000100100000
31001020101111012210202211011100
4300331111111200303010200
5211210304432202032040
62041541040552314400
763232300565446254
oct6075252540630440
91036344183684140
10215321030111520
11626761550aa183
12201967a93a2a00
13931b8bc235a18
143b2584466c264
1519d5eda2abb30
hexc3d555833120

215321030111520 has 144 divisors (see below), whose sum is σ = 735084538526520. Its totient is φ = 57395379105792.

The previous prime is 215321030111501. The next prime is 215321030111531. The reversal of 215321030111520 is 25111030123512.

215321030111520 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 21 + 0 + 3 + 0 + 111 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211005721873296 + 4315308238224 = 14526036^2 + 2077332^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2153210301115202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27169525 + ... + 34188084.

Almost surely, 2215321030111520 is an apocalyptic number.

215321030111520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215321030111520 is an abundant number, since it is smaller than the sum of its proper divisors (519763508415000).

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

215321030111520 is a wasteful number, since it uses less digits than its factorization.

215321030111520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61360067 (or 61360056 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 215321030111520 in words is "two hundred fifteen trillion, three hundred twenty-one billion, thirty million, one hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2437 4874 7311 9748 12185 14622 19496 21933 24370 29244 36555 38992 43866 48740 58488 73110 77984 87732 97480 109665 116976 146220 175464 194960 219330 233952 292440 350928 389920 438660 584880 701856 877320 1169760 1754640 3509280 61357609 122715218 184072827 245430436 306788045 368145654 490860872 552218481 613576090 736291308 920364135 981721744 1104436962 1227152180 1472582616 1840728270 1963443488 2208873924 2454304360 2761092405 2945165232 3681456540 4417747848 4908608720 5522184810 5890330464 7362913080 8835495696 9817217440 11044369620 14725826160 17670991392 22088739240 29451652320 44177478480 88354956960 149528493133 299056986266 448585479399 598113972532 747642465665 897170958798 1196227945064 1345756438197 1495284931330 1794341917596 2242927396995 2392455890128 2691512876394 2990569862660 3588683835192 4485854793990 4784911780256 5383025752788 5981139725320 6728782190985 7177367670384 8971709587980 10766051505576 11962279450640 13457564381970 14354735340768 17943419175960 21532103011152 23924558901280 26915128763940 35886838351920 43064206022304 53830257527880 71773676703840 107660515055760 215321030111520