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2004343120230 = 2351119821389369
BaseRepresentation
bin11101001010101100001…
…010001110000101100110
321002121120010012012212220
4131022230022032011212
5230314343314321410
64132441005053210
7264544330263123
oct35125412160546
97077503165786
102004343120230
11703045490350
12284556557206
131170162a06b9
146d0215dd74a
153720e42d070
hex1d2ac28e166

2004343120230 has 128 divisors (see below), whose sum is σ = 5530673779200. Its totient is φ = 459765734400.

The previous prime is 2004343120223. The next prime is 2004343120231. The reversal of 2004343120230 is 320213434002.

It is a super-2 number, since 2×20043431202302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2004343120230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004343120231) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4952986 + ... + 5342354.

It is an arithmetic number, because the mean of its divisors is an integer number (43208388900).

Almost surely, 22004343120230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004343120230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765336889600).

2004343120230 is an abundant number, since it is smaller than the sum of its proper divisors (3526330658970).

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

2004343120230 is a wasteful number, since it uses less digits than its factorization.

2004343120230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390230.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2004343120230 its reverse (320213434002), we get a palindrome (2324556554232).

The spelling of 2004343120230 in words is "two trillion, four billion, three hundred forty-three million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 821 1045 1254 1642 2090 2463 3135 4105 4926 6270 8210 9031 12315 15599 18062 24630 27093 31198 45155 46797 54186 77995 90310 93594 135465 155990 171589 233985 270930 343178 389369 467970 514767 778738 857945 1029534 1168107 1715890 1946845 2336214 2573835 3893690 4283059 5147670 5840535 7398011 8566118 11681070 12849177 14796022 21415295 22194033 25698354 36990055 42830590 44388066 64245885 73980110 81378121 110970165 128491770 162756242 221940330 244134363 319671949 406890605 488268726 639343898 813781210 959015847 1220671815 1598359745 1918031694 2441343630 3196719490 3516391439 4795079235 6073767031 7032782878 9590158470 10549174317 12147534062 17581957195 18221301093 21098348634 30368835155 35163914390 36442602186 52745871585 60737670310 66811437341 91106505465 105491743170 133622874682 182213010930 200434312023 334057186705 400868624046 668114373410 1002171560115 2004343120230