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330030121100240 = 245118325118001931
BaseRepresentation
bin100101100001010010010000…
…0001000100010001111010000
31121021112120102120210210000102
41023002210200020202033100
5321224203142000201430
63125525424455111532
7126341614030251131
oct11302444010421720
91537476376723012
10330030121100240
1196180a96547a50
123102206b9725a8
131121c926029ab2
145b6d786351c88
152824c92bd3345
hex12c29202223d0

330030121100240 has 160 divisors (see below), whose sum is σ = 850536849157632. Its totient is φ = 118092660800000.

The previous prime is 330030121100213. The next prime is 330030121100327. The reversal of 330030121100240 is 42001121030033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9332075 + ... + 27334005.

Almost surely, 2330030121100240 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 330030121100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425268424578816).

330030121100240 is an abundant number, since it is smaller than the sum of its proper divisors (520506728057392).

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

330030121100240 is a wasteful number, since it uses less digits than its factorization.

330030121100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18002289 (or 18002283 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 330030121100240 its reverse (42001121030033), we get a palindrome (372031242130273).

The spelling of 330030121100240 in words is "three hundred thirty trillion, thirty billion, one hundred twenty-one million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 251 332 415 440 502 664 830 880 913 1004 1255 1328 1660 1826 2008 2510 2761 3320 3652 4016 4565 5020 5522 6640 7304 9130 10040 11044 13805 14608 18260 20080 20833 22088 27610 36520 41666 44176 55220 73040 83332 104165 110440 166664 208330 220880 229163 333328 416660 458326 833320 916652 1145815 1666640 1833304 2291630 3666608 4583260 9166520 18001931 18333040 36003862 72007724 90009655 144015448 180019310 198021241 288030896 360038620 396042482 720077240 792084964 990106205 1440154480 1494160273 1584169928 1980212410 2988320546 3168339856 3960424820 4518484681 5976641092 7470801365 7920849640 9036969362 11953282184 14941602730 15841699280 16435763003 18073938724 22592423405 23906564368 29883205460 32871526006 36147877448 45184846810 49703331491 59766410920 65743052012 72295754896 82178815015 90369693620 99406662982 119532821840 131486104024 164357630030 180739387240 198813325964 248516657455 262972208048 328715260060 361478774480 375034228523 397626651928 497033314910 657430520120 750068457046 795253303856 994066629820 1314861040240 1500136914092 1875171142615 1988133259640 3000273828184 3750342285230 3976266519280 4125376513753 6000547656368 7500684570460 8250753027506 15001369140920 16501506055012 20626882568765 30002738281840 33003012110024 41253765137530 66006024220048 82507530275060 165015060550120 330030121100240