Search a number
-
+
30123002130120 = 2333528398557133
BaseRepresentation
bin1101101100101100011101…
…10101110110111011001000
310221122201201210220101022000
412312112032311312323020
512422013402021130440
6144022152141431000
76226213034265444
oct666261665667310
9127581653811260
1030123002130120
119664103440a49
12346605856b460
1313a67825a5573
14761d652d1824
1537387d5e4730
hex1b658ed76ec8

30123002130120 has 128 divisors (see below), whose sum is σ = 100764813801600. Its totient is φ = 8004416032512.

The previous prime is 30123002130103. The next prime is 30123002130217. The reversal of 30123002130120 is 2103120032103.

30123002130120 is a `hidden beast` number, since 30 + 1 + 2 + 300 + 213 + 0 + 120 = 666.

It is a super-2 number, since 2×301230021301202 (a number of 28 digits) contains 22 as substring.

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 = 30123002130093 and 30123002130102.

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, 48972927 + ... + 49584206.

It is an arithmetic number, because the mean of its divisors is an integer number (787225107825).

Almost surely, 230123002130120 is an apocalyptic number.

30123002130120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30123002130120 is an abundant number, since it is smaller than the sum of its proper divisors (70641811671480).

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

30123002130120 is a wasteful number, since it uses less digits than its factorization.

30123002130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98557436 (or 98557426 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30123002130120 its reverse (2103120032103), we get a palindrome (32226122162223).

The spelling of 30123002130120 in words is "thirty trillion, one hundred twenty-three billion, two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 283 360 540 566 849 1080 1132 1415 1698 2264 2547 2830 3396 4245 5094 5660 6792 7641 8490 10188 11320 12735 15282 16980 20376 25470 30564 33960 38205 50940 61128 76410 101880 152820 305640 98557133 197114266 295671399 394228532 492785665 591342798 788457064 887014197 985571330 1182685596 1478356995 1774028394 1971142660 2365371192 2661042591 2956713990 3548056788 3942285320 4435070985 5322085182 5913427980 7096113576 8870141970 10644170364 11826855960 13305212955 17740283940 21288340728 26610425910 27891668639 35480567880 53220851820 55783337278 83675005917 106441703640 111566674556 139458343195 167350011834 223133349112 251025017751 278916686390 334700023668 418375029585 502050035502 557833372780 669400047336 753075053253 836750059170 1004100071004 1115666745560 1255125088755 1506150106506 1673500118340 2008200142008 2510250177510 3012300213012 3347000236680 3765375266265 5020500355020 6024600426024 7530750532530 10041000710040 15061501065060 30123002130120