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330130103020 = 225192232637559
BaseRepresentation
bin1001100110111010100…
…10011001101011101100
31011120010100000211220121
410303131102121223230
520402101301244040
6411354253454324
732564634401314
oct4633522315354
91146110024817
10330130103020
11118009922693
1253b93aa13a4
1325192147333
1411d9a976444
1588c2936c4a
hex4cdd499aec

330130103020 has 144 divisors (see below), whose sum is σ = 766498360320. Its totient is φ = 119191957632.

The previous prime is 330130102979. The next prime is 330130103027. The reversal of 330130103020 is 20301031033.

It is a junction number, because it is equal to n+sod(n) for n = 330130102985 and 330130103003.

It is not an unprimeable number, because it can be changed into a prime (330130103027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43670001 + ... + 43677559.

It is an arithmetic number, because the mean of its divisors is an integer number (5322905280).

Almost surely, 2330130103020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330130103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383249180160).

330130103020 is an abundant number, since it is smaller than the sum of its proper divisors (436368257300).

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

330130103020 is a wasteful number, since it uses less digits than its factorization.

330130103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 330130103020 its reverse (20301031033), we get a palindrome (350431134053).

The spelling of 330130103020 in words is "three hundred thirty billion, one hundred thirty million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 263 361 380 437 460 526 722 874 1052 1315 1444 1748 1805 2185 2630 3610 4370 4997 5260 6049 7220 7559 8303 8740 9994 12098 15118 16606 19988 24196 24985 30236 30245 33212 37795 41515 49970 60490 75590 83030 94943 99940 114931 120980 143621 151180 166060 173857 189886 229862 287242 347714 379772 459724 474715 574484 574655 695428 718105 869285 949430 1149310 1436210 1738570 1898860 1988017 2183689 2298620 2728799 2872420 3303283 3477140 3976034 4367378 5457598 6606566 7952068 8734756 9940085 10915196 10918445 13213132 13643995 16516415 19880170 21836890 27287990 33032830 37772323 39760340 43673780 45724391 54575980 62762377 66065660 75544646 91448782 125524754 151089292 182897564 188861615 228621955 251049508 313811885 377723230 457243910 627623770 717674137 755446460 868763429 914487820 1255247540 1435348274 1737526858 2870696548 3475053716 3588370685 4343817145 7176741370 8687634290 14353482740 16506505151 17375268580 33013010302 66026020604 82532525755 165065051510 330130103020