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121300113322323 = 321343233749913799
BaseRepresentation
bin11011100101001001100010…
…001010100111000101010011
3120220111011210110100212011200
4123211021202022213011103
5111344340113002303243
61105552300333242243
734356433613115405
oct3345114212470523
9526434713325150
10121300113322323
11357170a8757111
1211730936633383
13528b722b50730
1421d4d576b6b75
15e054634b2ad3
hex6e52622a7153

121300113322323 has 96 divisors (see below), whose sum is σ = 193945752000000. Its totient is φ = 72582404009472.

The previous prime is 121300113322309. The next prime is 121300113322343. The reversal of 121300113322323 is 323223311003121.

121300113322323 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 0 + 1 + 1 + 332 + 2 + 323 = 666.

It is a de Polignac number, because none of the positive numbers 2k-121300113322323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121300113322343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8790493378 + ... + 8790507176.

It is an arithmetic number, because the mean of its divisors is an integer number (2020268250000).

Almost surely, 2121300113322323 is an apocalyptic number.

121300113322323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

121300113322323 is a deficient number, since it is larger than the sum of its proper divisors (72645638677677).

121300113322323 is a wasteful number, since it uses less digits than its factorization.

121300113322323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21593 (or 21590 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 121300113322323 its reverse (323223311003121), we get a palindrome (444523424325444).

The spelling of 121300113322323 in words is "one hundred twenty-one trillion, three hundred billion, one hundred thirteen million, three hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 3 9 13 39 43 117 129 233 387 559 699 1677 2097 3029 5031 7499 9087 10019 13799 22497 27261 30057 41397 67491 90171 97487 124191 130247 179387 292461 322457 390741 538161 593357 877383 967371 1172223 1614483 1747267 1780071 2902113 3215167 4191941 5241801 5340213 7713641 9645501 12575823 15725403 22714471 23140923 28936503 37727469 41797171 68143413 69422769 75132481 103478701 125391513 138252181 204430239 225397443 310436103 376174539 414756543 676192329 931308309 976722253 1244269629 1345223113 1797278353 2930166759 4035669339 4449584143 5391835059 8790500277 12107008017 13348752429 16175505177 24110537333 40046257287 57844593859 72331611999 173533781577 216994835997 313436985329 520601344731 940310955987 1036753105319 2820932867961 3110259315957 9330777947871 13477790369147 40433371107441 121300113322323