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12041304343341 = 37131092271782619
BaseRepresentation
bin1010111100111001010110…
…1010110000001100101101
31120122010201012111010222120
42233032111222300030231
53034241042402441331
641335410541303153
72351645514103410
oct257162552601455
946563635433876
1012041304343341
113922763427349
121425828564ab9
1369464aa6b030
142d8b334bbb77
1515d34e1a4796
hexaf395ab032d

12041304343341 has 64 divisors (see below), whose sum is σ = 20029233100800. Its totient is φ = 6265460180736.

The previous prime is 12041304343337. The next prime is 12041304343421. The reversal of 12041304343341 is 14334340314021.

It is not a de Polignac number, because 12041304343341 - 22 = 12041304343337 is a prime.

It is a super-2 number, since 2×120413043433412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041304342341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5863530 + ... + 7646148.

It is an arithmetic number, because the mean of its divisors is an integer number (312956767200).

Almost surely, 212041304343341 is an apocalyptic number.

It is an amenable number.

12041304343341 is a deficient number, since it is larger than the sum of its proper divisors (7987928757459).

12041304343341 is a wasteful number, since it uses less digits than its factorization.

12041304343341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782978.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 12041304343341 its reverse (14334340314021), we get a palindrome (26375644657362).

The spelling of 12041304343341 in words is "twelve trillion, forty-one billion, three hundred four million, three hundred forty-three thousand, three hundred forty-one".

Divisors: 1 3 7 13 21 39 91 109 227 273 327 681 763 1417 1589 2289 2951 4251 4767 8853 9919 20657 24743 29757 61971 74229 173201 321659 519603 964977 1782619 2251613 5347857 6754839 12478333 23174047 37434999 69522141 162218329 194305471 404654513 486654987 582916413 1213963539 1360138297 2525971123 2832581591 4080414891 5260508669 7577913369 8497744773 15781526007 17681797861 36823560683 44107341917 53045393583 110470682049 132322025751 308751393419 573395444921 926254180257 1720186334763 4013768114447 12041304343341