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334112323200420 = 223571389201619853
BaseRepresentation
bin100101111110111111001011…
…0010101101110010110100100
31121210222211022021020211111110
41023331332112111232112210
5322243044014214403140
63142333025441305020
7130242550556503062
oct11375762625562644
91553884267224443
10334112323200420
119750527117a0a6
1231581259035170
131145787024589b
145c711a0a93032
152896065641380
hex12fdf9656e5a4

334112323200420 has 96 divisors (see below), whose sum is σ = 951129564053760. Its totient is φ = 87615922885120.

The previous prime is 334112323200407. The next prime is 334112323200473. The reversal of 334112323200420 is 24002323211433.

It is a happy number.

It is a super-2 number, since 2×3341123232004202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99152787 + ... + 102467066.

It is an arithmetic number, because the mean of its divisors is an integer number (9907599625560).

Almost surely, 2334112323200420 is an apocalyptic number.

334112323200420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334112323200420 is an abundant number, since it is smaller than the sum of its proper divisors (617017240853340).

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

334112323200420 is a wasteful number, since it uses less digits than its factorization.

334112323200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201620325 (or 201620323 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 334112323200420 its reverse (24002323211433), we get a palindrome (358114646411853).

The spelling of 334112323200420 in words is "three hundred thirty-four trillion, one hundred twelve billion, three hundred twenty-three million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 389 426 710 778 852 1065 1167 1420 1556 1945 2130 2334 3890 4260 4668 5835 7780 11670 23340 27619 55238 82857 110476 138095 165714 276190 331428 414285 552380 828570 1657140 201619853 403239706 604859559 806479412 1008099265 1209719118 2016198530 2419438236 3024297795 4032397060 6048595590 12097191180 14315009563 28630019126 42945028689 57260038252 71575047815 78430122817 85890057378 143150095630 156860245634 171780114756 214725143445 235290368451 286300191260 313720491268 392150614085 429450286890 470580736902 784301228170 858900573780 941161473804 1176451842255 1568602456340 2352903684510 4705807369020 5568538720007 11137077440014 16705616160021 22274154880028 27842693600035 33411232320042 55685387200070 66822464640084 83528080800105 111370774400140 167056161600210 334112323200420