Search a number
-
+
30123322020 = 223251159257861
BaseRepresentation
bin11100000011011111…
…010110101010100100
32212202100100022101100
4130003133112222210
5443143032301040
621501035200100
72114325004161
oct340337265244
985670308340
1030123322020
1111858914760
125a082a6030
132ac0ab30cc
14165a98b068
15bb4888b30
hex7037d6aa4

30123322020 has 144 divisors (see below), whose sum is σ = 101370709440. Its totient is φ = 7178822400.

The previous prime is 30123322003. The next prime is 30123322067. The reversal of 30123322020 is 2022332103.

It is a happy number.

30123322020 is a `hidden beast` number, since 301 + 23 + 322 + 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 = 30123321984 and 30123322002.

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, 12111 + ... + 245750.

It is an arithmetic number, because the mean of its divisors is an integer number (703963260).

Almost surely, 230123322020 is an apocalyptic number.

30123322020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30123322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50685354720).

30123322020 is an abundant number, since it is smaller than the sum of its proper divisors (71247387420).

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

30123322020 is a wasteful number, since it uses less digits than its factorization.

30123322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257946 (or 257941 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30123322020 its reverse (2022332103), we get a palindrome (32145654123).

The spelling of 30123322020 in words is "thirty billion, one hundred twenty-three million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 59 60 66 90 99 110 118 132 165 177 180 198 220 236 295 330 354 396 495 531 590 649 660 708 885 990 1062 1180 1298 1770 1947 1980 2124 2596 2655 3245 3540 3894 5310 5841 6490 7788 9735 10620 11682 12980 19470 23364 29205 38940 58410 116820 257861 515722 773583 1031444 1289305 1547166 2320749 2578610 2836471 3094332 3867915 4641498 5157220 5672942 7735830 8509413 9282996 11345884 11603745 14182355 15213799 15471660 17018826 23207490 25528239 28364710 30427598 34037652 42547065 45641397 46414980 51056478 56729420 60855196 76068995 85094130 91282794 102112956 127641195 136924191 152137990 167351789 170188260 182565588 228206985 255282390 273848382 304275980 334703578 456413970 502055367 510564780 547696764 669407156 684620955 836758945 912827940 1004110734 1369241910 1506166101 1673517890 2008221468 2510276835 2738483820 3012332202 3347035780 5020553670 6024664404 7530830505 10041107340 15061661010 30123322020