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21330330120 = 23325112489677
BaseRepresentation
bin10011110111011000…
…110000001000001000
32001001112210001002200
4103313120300020020
5322141031030440
613444331000200
71353404546241
oct236730601010
961045701080
1021330330120
119056462800
124173599060
13201c1a1c18
141064c5dcc8
1584c94cc30
hex4f7630208

21330330120 has 144 divisors (see below), whose sum is σ = 76198793580. Its totient is φ = 5170978560.

The previous prime is 21330330113. The next prime is 21330330139. The reversal of 21330330120 is 2103303312.

21330330120 is a `hidden beast` number, since 2 + 1 + 330 + 330 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21217418244 + 112911876 = 145662^2 + 10626^2 .

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 = 21330330093 and 21330330102.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201279 + ... + 288398.

Almost surely, 221330330120 is an apocalyptic number.

21330330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330330120 is an abundant number, since it is smaller than the sum of its proper divisors (54868463460).

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

21330330120 is a wasteful number, since it uses less digits than its factorization.

21330330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489716 (or 489698 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21330330120 its reverse (2103303312), we get a palindrome (23433633432).

The spelling of 21330330120 in words is "twenty-one billion, three hundred thirty million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 489677 979354 1469031 1958708 2448385 2938062 3917416 4407093 4896770 5386447 5876124 7345155 8814186 9793540 10772894 11752248 14690310 16159341 17628372 19587080 21545788 22035465 26932235 29380620 32318682 35256744 43091576 44070930 48478023 53864470 58761240 59250917 64637364 80796705 88141860 96956046 107728940 118501834 129274728 161593410 176283720 177752751 193912092 215457880 237003668 242390115 296254585 323186820 355505502 387824184 474007336 484780230 533258253 592509170 646373640 711011004 888763755 969560460 1066516506 1185018340 1422022008 1777527510 1939120920 2133033012 2370036680 2666291265 3555055020 4266066024 5332582530 7110110040 10665165060 21330330120