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342300220020 = 22325111710169347
BaseRepresentation
bin1001111101100101010…
…11101101101001110100
31012201112111020211220200
410332302223231221310
521102012324020040
6421130041400500
733505342602063
oct4766253555164
91181474224820
10342300220020
11122194606720
125640b799130
13263816024b5
14127d2dd81da
158d860ac630
hex4fb2aeda74

342300220020 has 144 divisors (see below), whose sum is σ = 1199332225728. Its totient is φ = 78100577280.

The previous prime is 342300219991. The next prime is 342300220043. The reversal of 342300220020 is 20022003243.

342300220020 is a `hidden beast` number, since 3 + 423 + 0 + 0 + 220 + 0 + 20 = 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 = 342300219975 and 342300220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5051014 + ... + 5118333.

It is an arithmetic number, because the mean of its divisors is an integer number (8328696012).

Almost surely, 2342300220020 is an apocalyptic number.

342300220020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342300220020 is an abundant number, since it is smaller than the sum of its proper divisors (857032005708).

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

342300220020 is a wasteful number, since it uses less digits than its factorization.

342300220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169390 (or 10169385 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 342300220020 its reverse (20022003243), we get a palindrome (362322223263).

The spelling of 342300220020 in words is "three hundred forty-two billion, three hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 10169347 20338694 30508041 40677388 50846735 61016082 91524123 101693470 111862817 122032164 152540205 172878899 183048246 203386940 223725634 305080410 335588451 345757798 366096492 447451268 457620615 518636697 559314085 610160820 671176902 691515596 864394495 915241230 1006765353 1037273394 1118628170 1342353804 1555910091 1677942255 1728788990 1830482460 1901667889 2013530706 2074546788 2237256340 2593183485 3111820182 3355884510 3457577980 3803335778 4027061412 5033826765 5186366970 5705003667 6223640364 6711769020 7606671556 7779550455 9508339445 10067653530 10372733940 11410007334 15559100910 17115011001 19016678890 20135307060 22820014668 28525018335 31118201820 34230022002 38033357780 57050036670 68460044004 85575055005 114100073340 171150110010 342300220020