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33240240320130 = 23257310747284087
BaseRepresentation
bin1111000111011010110001…
…01101110110111010000010
311100200201212111111210011200
413203231120231312322002
513324102003010221010
6154410204450322030
710000346066566014
oct743553055667202
9140621774453150
1033240240320130
11a65611a0a9048
12388a221289316
13157170607431c
1482cb9c80c1b4
153c99c55e9cc0
hex1e3b58b76e82

33240240320130 has 96 divisors (see below), whose sum is σ = 88427296923264. Its totient is φ = 8660931464448.

The previous prime is 33240240320099. The next prime is 33240240320153. The reversal of 33240240320130 is 3102304204233.

33240240320130 is a `hidden beast` number, since 3 + 3 + 24 + 0 + 2 + 403 + 201 + 30 = 666.

It is a super-2 number, since 2×332402403201302 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33240240320094 and 33240240320103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22939054 + ... + 24345033.

It is an arithmetic number, because the mean of its divisors is an integer number (921117676284).

Almost surely, 233240240320130 is an apocalyptic number.

33240240320130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33240240320130 is an abundant number, since it is smaller than the sum of its proper divisors (55187056603134).

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

33240240320130 is a wasteful number, since it uses less digits than its factorization.

33240240320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47284280 (or 47284277 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 33240240320130 its reverse (3102304204233), we get a palindrome (36342544524363).

The spelling of 33240240320130 in words is "thirty-three trillion, two hundred forty billion, two hundred forty million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 107 146 214 219 321 365 438 535 642 657 730 963 1070 1095 1314 1605 1926 2190 3210 3285 4815 6570 7811 9630 15622 23433 39055 46866 70299 78110 117165 140598 234330 351495 702990 47284087 94568174 141852261 236420435 283704522 425556783 472840870 709261305 851113566 1418522610 2127783915 3451738351 4255567830 5059397309 6903476702 10118794618 10355215053 15178191927 17258691755 20710430106 25296986545 30356383854 31065645159 34517383510 45534575781 50593973090 51776075265 62131290318 75890959635 91069151562 103552150530 151781919270 155328225795 227672878905 310656451590 369336003557 455345757810 738672007114 1108008010671 1846680017785 2216016021342 3324024032013 3693360035570 5540040053355 6648048064026 11080080106710 16620120160065 33240240320130