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121314324341034 = 2361133722445639
BaseRepresentation
bin11011100101010110110001…
…001101010110000100101010
3120220112112110211220102000000
4123211112301031112010222
5111400103214012403114
61110003010424523430
734360446022563006
oct3345266115260452
9526475424812000
10121314324341034
1135722130483880
1211733641920576
13528cb790a4046
1421d5904bdd706
15e059e5dc9e09
hex6e55b135612a

121314324341034 has 112 divisors (see below), whose sum is σ = 298518572439360. Its totient is φ = 36652829028480.

The previous prime is 121314324341033. The next prime is 121314324341059. The reversal of 121314324341034 is 430143423413121.

121314324341034 is a `hidden beast` number, since 1 + 2 + 1 + 314 + 324 + 3 + 4 + 10 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121314324341034.

It is not an unprimeable number, because it can be changed into a prime (121314324341033) 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 55 ways as a sum of consecutive naturals, for example, 5818014 + ... + 16627625.

It is an arithmetic number, because the mean of its divisors is an integer number (2665344396780).

Almost surely, 2121314324341034 is an apocalyptic number.

121314324341034 is an abundant number, since it is smaller than the sum of its proper divisors (177204248098326).

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

121314324341034 is a wasteful number, since it uses less digits than its factorization.

121314324341034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22446007 (or 22445992 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 121314324341034 its reverse (430143423413121), we get a palindrome (551457747754155).

The spelling of 121314324341034 in words is "one hundred twenty-one trillion, three hundred fourteen billion, three hundred twenty-four million, three hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 337 486 594 674 729 891 1011 1458 1782 2022 2673 3033 3707 5346 6066 7414 8019 9099 11121 16038 18198 22242 27297 33363 54594 66726 81891 100089 163782 200178 245673 300267 491346 600534 900801 1801602 2702403 5404806 22445639 44891278 67336917 134673834 202010751 246902029 404021502 493804058 606032253 740706087 1212064506 1481412174 1818096759 2222118261 3636193518 4444236522 5454290277 6666354783 7564180343 10908580554 13332709566 15128360686 16362870831 19999064349 22692541029 32725741662 39998128698 45385082058 59997193047 68077623087 83205983773 119994386094 136155246174 166411967546 179991579141 204232869261 249617951319 359983158282 408465738522 499235902638 612698607783 748853853957 1225397215566 1497707707914 1838095823349 2246561561871 3676191646698 4493123123742 5514287470047 6739684685613 11028574940094 13479369371226 20219054056839 40438108113678 60657162170517 121314324341034