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330013013220 = 2232511846119699
BaseRepresentation
bin1001100110101100100…
…11101111010011100100
31011112211011201001220100
410303112103233103210
520401331312410340
6411334512104100
732562013220532
oct4632623572344
91145734631810
10330013013220
11117a59819360
1253b60835030
1325173acbc27
1411d891b7152
1588b7508830
hex4cd64ef4e4

330013013220 has 144 divisors (see below), whose sum is σ = 1092227572800. Its totient is φ = 79989638400.

The previous prime is 330013013173. The next prime is 330013013227. The reversal of 330013013220 is 22310310033.

330013013220 is a `hidden beast` number, since 3 + 300 + 130 + 13 + 220 = 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 = 330013013193 and 330013013202.

It is not an unprimeable number, because it can be changed into a prime (330013013227) 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, 16742931 + ... + 16762629.

It is an arithmetic number, because the mean of its divisors is an integer number (7584913700).

Almost surely, 2330013013220 is an apocalyptic number.

330013013220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330013013220 is an abundant number, since it is smaller than the sum of its proper divisors (762214559580).

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

330013013220 is a wasteful number, since it uses less digits than its factorization.

330013013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28186 (or 28181 counting only the distinct ones).

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

Adding to 330013013220 its reverse (22310310033), we get a palindrome (352323323253).

The spelling of 330013013220 in words is "three hundred thirty billion, thirteen million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 8461 16922 19699 25383 33844 39398 42305 50766 59097 76149 78796 84610 93071 98495 101532 118194 126915 152298 169220 177291 186142 196990 216689 236388 253830 279213 295485 304596 354582 372284 380745 393980 433378 465355 507660 558426 590970 650067 709164 761490 837639 866756 886455 930710 1083445 1116852 1181940 1300134 1396065 1522980 1675278 1772910 1861420 1950201 2166890 2600268 2792130 3250335 3350556 3545820 3900402 4188195 4333780 5584260 6500670 7800804 8376390 9751005 13001340 16752780 19502010 39004020 166673239 333346478 500019717 666692956 833366195 1000039434 1500059151 1666732390 1833405629 2000078868 2500098585 3000118302 3333464780 3666811258 5000197170 5500216887 6000236604 7333622516 7500295755 9167028145 10000394340 11000433774 15000591510 16500650661 18334056290 22000867548 27501084435 30001183020 33001301322 36668112580 55002168870 66002602644 82503253305 110004337740 165006506610 330013013220