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12301322310312 = 2337231693300823
BaseRepresentation
bin1011001100000001111111…
…1100100101001010101000
31121112222212022011110021120
42303000133330211022220
53103021102002412222
642055052140535240
72406512143256100
oct263003774451250
947488768143246
1012301322310312
113a12a63827442
1214680b3b51520
136b3018468319
1430755c5ac200
15164ebb72a15c
hexb301ff252a8

12301322310312 has 96 divisors (see below), whose sum is σ = 35785553313600. Its totient is φ = 3513553376256.

The previous prime is 12301322310269. The next prime is 12301322310353. The reversal of 12301322310312 is 21301322310321.

It is a super-4 number, since 4×123013223103124 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2076333 + ... + 5377155.

It is an arithmetic number, because the mean of its divisors is an integer number (372766180350).

Almost surely, 212301322310312 is an apocalyptic number.

12301322310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301322310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892776656800).

12301322310312 is an abundant number, since it is smaller than the sum of its proper divisors (23484231003288).

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

12301322310312 is a wasteful number, since it uses less digits than its factorization.

12301322310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304015 (or 3304004 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12301322310312 its reverse (21301322310321), we get a palindrome (33602644620633).

Subtracting 12301322310312 from its reverse (21301322310321), we obtain a palindrome (9000000000009).

The spelling of 12301322310312 in words is "twelve trillion, three hundred one billion, three hundred twenty-two million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 3169 6338 9507 12676 19014 22183 25352 38028 44366 66549 76056 88732 133098 155281 177464 266196 310562 465843 532392 621124 931686 1242248 1863372 3300823 3726744 6601646 9902469 13203292 19804938 23105761 26406584 39609876 46211522 69317283 79219752 92423044 138634566 161740327 184846088 277269132 323480654 485220981 554538264 646961308 970441962 1293922616 1940883924 3881767848 10460308087 20920616174 31380924261 41841232348 62761848522 73222156609 83682464696 125523697044 146444313218 219666469827 251047394088 292888626436 439332939654 512555096263 585777252872 878665879308 1025110192526 1537665288789 1757331758616 2050220385052 3075330577578 4100440770104 6150661155156 12301322310312