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2041003121304 = 233729617678971
BaseRepresentation
bin11101101100110101010…
…001000001101010011000
321020010012000110020012110
4131230311101001222120
5231414433244340204
64201342432112320
7300312650166540
oct35546521015230
97203160406173
102041003121304
117176480647a4
1228b6879956a0
1311a6093a7724
1470adc37c320
1538157ab0889
hex1db35441a98

2041003121304 has 128 divisors (see below), whose sum is σ = 6042307622400. Its totient is φ = 562121978880.

The previous prime is 2041003121293. The next prime is 2041003121323. The reversal of 2041003121304 is 4031213001402.

It is a super-3 number, since 3×20410031213043 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2666539 + ... + 3345509.

It is an arithmetic number, because the mean of its divisors is an integer number (47205528300).

Almost surely, 22041003121304 is an apocalyptic number.

2041003121304 is a gapful number since it is divisible by the number (24) 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 2041003121304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021153811200).

2041003121304 is an abundant number, since it is smaller than the sum of its proper divisors (4001304501096).

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

2041003121304 is a wasteful number, since it uses less digits than its factorization.

2041003121304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679633 (or 679629 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2041003121304 its reverse (4031213001402), we get a palindrome (6072216122706).

The spelling of 2041003121304 in words is "two trillion, forty-one billion, three million, one hundred twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 617 696 812 1218 1234 1624 1851 2436 2468 3702 4319 4872 4936 7404 8638 12957 14808 17276 17893 25914 34552 35786 51828 53679 71572 103656 107358 125251 143144 214716 250502 375753 429432 501004 678971 751506 1002008 1357942 1503012 2036913 2715884 3006024 4073826 4752797 5431768 8147652 9505594 14258391 16295304 19011188 19690159 28516782 38022376 39380318 57033564 59070477 78760636 114067128 118140954 137831113 157521272 236281908 275662226 413493339 418925107 472563816 551324452 826986678 837850214 1102648904 1256775321 1653973356 1675700428 2513550642 2932475749 3307946712 3351400856 5027101284 5864951498 8797427247 10054202568 11729902996 12148828103 17594854494 23459805992 24297656206 35189708988 36446484309 48595312412 70379417976 72892968618 85041796721 97190624824 145785937236 170083593442 255125390163 291571874472 340167186884 510250780326 680334373768 1020501560652 2041003121304