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121323141323121 = 329411012712834391
BaseRepresentation
bin11011100101011110111110…
…101111011101100101110001
3120220120101020022121111122010
4123211132332233131211301
5111400224243134314441
61110011025351233133
734361210353646103
oct3345367657354561
9526511208544563
10121323141323121
1135725945430a31
12117352a26787a9
1352909529648ca
1421d60ddbb3573
15e05d5eea4116
hex6e57bebdd971

121323141323121 has 128 divisors (see below), whose sum is σ = 174413574881280. Its totient is φ = 74873030400000.

The previous prime is 121323141323119. The next prime is 121323141323183.

121323141323121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121323141323121 - 21 = 121323141323119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121323141327121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27629954836 + ... + 27629959226.

It is an arithmetic number, because the mean of its divisors is an integer number (1362606053760).

Almost surely, 2121323141323121 is an apocalyptic number.

It is an amenable number.

121323141323121 is a deficient number, since it is larger than the sum of its proper divisors (53090433558159).

121323141323121 is a wasteful number, since it uses less digits than its factorization.

121323141323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119.

The product of its digits is 5184, while the sum is 30.

The spelling of 121323141323121 in words is "one hundred twenty-one trillion, three hundred twenty-three billion, one hundred forty-one million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 29 41 87 101 123 271 283 303 813 849 1189 2929 3567 4141 4391 7859 8207 8787 11111 11603 12423 13173 23577 24621 27371 28583 33333 34809 76693 82113 85749 120089 127339 180031 230079 322219 336487 360267 382017 443491 540093 793759 828907 966657 1009461 1122211 1171903 1189961 1242653 1330473 2224097 2381277 2486721 3144413 3366633 3515709 3569883 3727959 5220899 6672291 7745993 9433239 12861239 15662697 18183131 23237979 32544119 33985187 34508869 36036937 38583717 48788401 50948773 54549393 91187977 97632357 101955561 103526607 108110811 120186061 125507953 146365203 152846319 224633797 273563931 317585713 336758963 360558183 376523859 527310799 673901391 952757139 1010276889 1414863629 1477514417 1581932397 3485395769 3639730637 4244590887 4432543251 4927628501 5145826073 9209985677 9766009927 10456187307 10919191911 13807117483 14782885503 15437478219 27629957031 29298029781 34012655263 41421352449 102037965789 142901226529 149228956117 400406407007 428703679587 447686868351 986367002627 1201219221021 1394518865783 2959101007881 4183556597349 40441047107707 121323141323121