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12531753030312 = 23323143130571737
BaseRepresentation
bin1011011001011100011010…
…1100000001001010101000
31122101000122102012212220200
42312113012230001022220
53120310012233432222
642353001410552200
72432250344131305
oct266270654011250
948330572185820
1012531753030312
113aa1760979a0a
1214a48a2898660
136cb97c158799
1431477bdb80ac
1516aea6508eac
hexb65c6b012a8

12531753030312 has 96 divisors (see below), whose sum is σ = 35849776385280. Its totient is φ = 3948489296640.

The previous prime is 12531753030257. The next prime is 12531753030317. The reversal of 12531753030312 is 21303035713521.

12531753030312 is a `hidden beast` number, since 1 + 2 + 5 + 31 + 7 + 5 + 303 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12531753030317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65189893 + ... + 65381844.

It is an arithmetic number, because the mean of its divisors is an integer number (373435170680).

Almost surely, 212531753030312 is an apocalyptic number.

12531753030312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12531753030312 is an abundant number, since it is smaller than the sum of its proper divisors (23318023354968).

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

12531753030312 is a wasteful number, since it uses less digits than its factorization.

12531753030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130571823 (or 130571816 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Adding to 12531753030312 its reverse (21303035713521), we get a palindrome (33834788743833).

The spelling of 12531753030312 in words is "twelve trillion, five hundred thirty-one billion, seven hundred fifty-three million, thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 43 62 72 86 93 124 129 172 186 248 258 279 344 372 387 516 558 744 774 1032 1116 1333 1548 2232 2666 3096 3999 5332 7998 10664 11997 15996 23994 31992 47988 95976 130571737 261143474 391715211 522286948 783430422 1044573896 1175145633 1566860844 2350291266 3133721688 4047723847 4700582532 5614584691 8095447694 9401165064 11229169382 12143171541 16190895388 16843754073 22458338764 24286343082 32381790776 33687508146 36429514623 44916677528 48572686164 50531262219 67375016292 72859029246 97145372328 101062524438 134750032584 145718058492 174052125421 202125048876 291436116984 348104250842 404250097752 522156376263 696208501684 1044312752526 1392417003368 1566469128789 2088625505052 3132938257578 4177251010104 6265876515156 12531753030312