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2010303310340 = 2251326761914341
BaseRepresentation
bin11101010000001111011…
…010100010101000000100
321010011221111100020122202
4131100033122202220010
5230414100121412330
64135304240414032
7265145122124513
oct35201732425004
97104844306582
102010303310340
117056238a03a6
1228573a617318
1311775603b300
146d42900867a
153745c800445
hex1d40f6a2a04

2010303310340 has 144 divisors (see below), whose sum is σ = 4647406921920. Its totient is φ = 729955100160.

The previous prime is 2010303310339. The next prime is 2010303310357. The reversal of 2010303310340 is 430133030102.

It is a super-3 number, since 3×20103033103403 (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140171570 + ... + 140185910.

It is an arithmetic number, because the mean of its divisors is an integer number (32273659180).

Almost surely, 22010303310340 is an apocalyptic number.

2010303310340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010303310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323703460960).

2010303310340 is an abundant number, since it is smaller than the sum of its proper divisors (2637103611580).

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

2010303310340 is a wasteful number, since it uses less digits than its factorization.

2010303310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15062 (or 15047 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2010303310340 its reverse (430133030102), we get a palindrome (2440436340442).

The spelling of 2010303310340 in words is "two trillion, ten billion, three hundred three million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 169 260 268 335 338 619 670 676 845 871 1238 1340 1690 1742 2476 3095 3380 3484 4355 6190 8047 8710 11323 12380 14341 16094 17420 22646 28682 32188 40235 41473 45292 56615 57364 71705 80470 82946 104611 113230 143410 160940 165892 186433 207365 209222 226460 286820 372866 414730 418444 523055 539149 745732 829460 932165 960847 1046110 1078298 1864330 1921694 2092220 2156596 2423629 2695745 3728660 3843388 4804235 4847258 5391490 7008937 8877079 9608470 9694516 10782980 12118145 12491011 14017874 17754158 19216940 24236290 24982022 28035748 35044685 35508316 44385395 48472580 49964044 62455055 70089370 88770790 115402027 124910110 140178740 162383143 177541580 230804054 249820220 324766286 461608108 577010135 594764293 649532572 811915715 1154020270 1189528586 1500226351 1623831430 2308040540 2379057172 2973821465 3000452702 3247662860 5947642930 6000905404 7501131755 7731935809 11895285860 15002263510 15463871618 30004527020 30927743236 38659679045 77319358090 100515165517 154638716180 201030331034 402060662068 502575827585 1005151655170 2010303310340