Search a number
-
+
330020201320 = 235191493139311
BaseRepresentation
bin1001100110101101011…
…11001010001101101000
31011112211200020021010021
410303112233022031220
520401340132420240
6411335330130224
732562131266225
oct4632657121550
91145750207107
10330020201320
11117a62888937
1253b63120974
1325175447944
1411d8a12894c
1588b7e7854a
hex4cd6bca368

330020201320 has 128 divisors (see below), whose sum is σ = 789471360000. Its totient is φ = 123810785280.

The previous prime is 330020201299. The next prime is 330020201333. The reversal of 330020201320 is 23102020033.

It is a junction number, because it is equal to n+sod(n) for n = 330020201294 and 330020201303.

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, 35439465 + ... + 35448775.

It is an arithmetic number, because the mean of its divisors is an integer number (6167745000).

Almost surely, 2330020201320 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 330020201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394735680000).

330020201320 is an abundant number, since it is smaller than the sum of its proper divisors (459451158680).

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

330020201320 is a wasteful number, since it uses less digits than its factorization.

330020201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 330020201320 its reverse (23102020033), we get a palindrome (353122221353).

The spelling of 330020201320 in words is "three hundred thirty billion, twenty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 149 152 190 298 313 380 596 626 745 760 1192 1252 1490 1565 2504 2831 2980 3130 5662 5947 5960 6260 9311 11324 11894 12520 14155 18622 22648 23788 28310 29735 37244 46555 46637 47576 56620 59470 74488 93110 93274 113240 118940 176909 186220 186548 233185 237880 353818 372440 373096 466370 707636 884545 886103 932740 1387339 1415272 1769090 1772206 1865480 2774678 2914343 3538180 3544412 4430515 5549356 5828686 6936695 7076360 7088824 8861030 11098712 11657372 13873390 14571715 17722060 23314744 26359441 27746780 29143430 35444120 52718882 55372517 55493560 58286860 105437764 110745034 116573720 131797205 210875528 221490068 263594410 276862585 434237107 442980136 527188820 553725170 868474214 1054377640 1107450340 1736948428 2171185535 2214900680 3473896856 4342371070 8250505033 8684742140 16501010066 17369484280 33002020132 41252525165 66004040264 82505050330 165010100660 330020201320