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30003113330208 = 25321717593483847
BaseRepresentation
bin1101101001001101001001…
…11010011000011000100000
310221020021021112222022122100
412310212210322120120200
512413032334003031313
6143451123500410400
76214440055303524
oct664464472303040
9127207245868570
1030003113330208
119618281328127
123446979b46a00
131398387453885
1475a230a53d84
153706b32a7173
hex1b49a4e98620

30003113330208 has 144 divisors (see below), whose sum is σ = 90391641500160. Its totient is φ = 9407387547648.

The previous prime is 30003113330171. The next prime is 30003113330209. The reversal of 30003113330208 is 80203331130003.

30003113330208 is a `hidden beast` number, since 300 + 0 + 3 + 1 + 1 + 3 + 330 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (30003113330209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6870141 + ... + 10353987.

It is an arithmetic number, because the mean of its divisors is an integer number (627719732640).

Almost surely, 230003113330208 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 30003113330208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45195820750080).

30003113330208 is an abundant number, since it is smaller than the sum of its proper divisors (60388528169952).

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

30003113330208 is a wasteful number, since it uses less digits than its factorization.

30003113330208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485639 (or 3485628 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 30003113330208 in words is "thirty trillion, three billion, one hundred thirteen million, three hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 1759 2448 3518 4896 5277 7036 10554 14072 15831 21108 28144 29903 31662 42216 56288 59806 63324 84432 89709 119612 126648 168864 179418 239224 253296 269127 358836 478448 506592 538254 717672 956896 1076508 1435344 2153016 2870688 3483847 4306032 6967694 8612064 10451541 13935388 20903082 27870776 31354623 41806164 55741552 59225399 62709246 83612328 111483104 118450798 125418492 167224656 177676197 236901596 250836984 334449312 355352394 473803192 501673968 533028591 710704788 947606384 1003347936 1066057182 1421409576 1895212768 2132114364 2842819152 4264228728 5685638304 6128086873 8528457456 12256173746 17056914912 18384260619 24512347492 36768521238 49024694984 55152781857 73537042476 98049389968 104177476841 110305563714 147074084952 196098779936 208354953682 220611127428 294148169904 312532430523 416709907364 441222254856 588296339808 625064861046 833419814728 882444509712 937597291569 1250129722092 1666839629456 1764889019424 1875194583138 2500259444184 3333679258912 3750389166276 5000518888368 7500778332552 10001037776736 15001556665104 30003113330208