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330311200011320 = 235118943319480169
BaseRepresentation
bin100101100011010101001000…
…1101111011111010000111000
31121022112102221110100220021102
41023012222101233133100320
5321243304314200330240
63130302512003430532
7126401124313500113
oct11306522157372070
91538472843326242
10330311200011320
119627a214236080
1231068634685448
131124029bb597a8
145b7d20c5bb57a
15282c2441e3815
hex12c6a91bdf438

330311200011320 has 128 divisors (see below), whose sum is σ = 821767075416000. Its totient is φ = 118489290670080.

The previous prime is 330311200011319. The next prime is 330311200011383. The reversal of 330311200011320 is 23110002113033.

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

It is a junction number, because it is equal to n+sod(n) for n = 330311200011292 and 330311200011301.

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, 7216196 + ... + 26696364.

Almost surely, 2330311200011320 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 330311200011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410883537708000).

330311200011320 is an abundant number, since it is smaller than the sum of its proper divisors (491455875404680).

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

330311200011320 is a wasteful number, since it uses less digits than its factorization.

330311200011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19480713 (or 19480709 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 330311200011320 its reverse (23110002113033), we get a palindrome (353421202124353).

The spelling of 330311200011320 in words is "three hundred thirty trillion, three hundred eleven billion, two hundred million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 356 433 440 445 712 866 890 979 1732 1780 1958 2165 3464 3560 3916 4330 4763 4895 7832 8660 9526 9790 17320 19052 19580 23815 38104 38537 39160 47630 77074 95260 154148 190520 192685 308296 385370 423907 770740 847814 1541480 1695628 2119535 3391256 4239070 8478140 16956280 19480169 38960338 77920676 97400845 155841352 194801690 214281859 389603380 428563718 779206760 857127436 1071409295 1714254872 1733735041 2142818590 3467470082 4285637180 6934940164 8434913177 8571274360 8668675205 13869880328 16869826354 17337350410 19071085451 33739652708 34674700820 38142170902 42174565885 67479305416 69349401640 76284341804 84349131770 92784044947 95355427255 152568683608 168698263540 185568089894 190710854510 337396527080 371136179788 381421709020 463920224735 742272359576 750707272753 762843418040 927840449470 1501414545506 1855680898940 3002829091012 3711361797880 3753536363765 6005658182024 7507072727530 8257780000283 15014145455060 16515560000566 30028290910120 33031120001132 41288900001415 66062240002264 82577800002830 165155600005660 330311200011320