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12031331210032 = 2417491571157771
BaseRepresentation
bin1010111100010100001100…
…1110010001001100110000
31120121011222011021111000211
42233011003032101030300
53034110131242210112
641331041154353504
72351143413630121
oct257050316211460
946534864244024
1012031331210032
1139195058a2712
12142390458b894
1369371b7c9614
142d8468b50048
1515ce688520a7
hexaf143391330

12031331210032 has 80 divisors (see below), whose sum is σ = 24775661649024. Its totient is φ = 5640340608000.

The previous prime is 12031331209991. The next prime is 12031331210111. The reversal of 12031331210032 is 23001213313021.

It is a junction number, because it is equal to n+sod(n) for n = 12031331209985 and 12031331210012.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76179307 + ... + 76337077.

Almost surely, 212031331210032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031331210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387830824512).

12031331210032 is an abundant number, since it is smaller than the sum of its proper divisors (12744330438992).

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

12031331210032 is a wasteful number, since it uses less digits than its factorization.

12031331210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158858 (or 158852 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12031331210032 its reverse (23001213313021), we get a palindrome (35032544523053).

The spelling of 12031331210032 in words is "twelve trillion, thirty-one billion, three hundred thirty-one million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 491 571 982 1142 1964 2284 3928 4568 7856 8347 9136 9707 16694 19414 33388 38828 66776 77656 133552 155312 157771 280361 315542 560722 631084 1121444 1262168 2242888 2524336 2682107 4485776 4766137 5364214 9532274 10728428 19064548 21456856 38129096 42913712 76258192 77465561 90087241 154931122 180174482 309862244 360348964 619724488 720697928 1239448976 1316914537 1441395856 1531483097 2633829074 3062966194 5267658148 6125932388 10535316296 12251864776 21070632592 24503729552 44232835331 88465670662 176931341324 353862682648 707725365296 751958200627 1503916401254 3007832802508 6015665605016 12031331210032