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12032110330032 = 24313291240153617
BaseRepresentation
bin1010111100010111000110…
…1010011000000010110000
31120121020222110022212202010
42233011301222120002300
53034113230221030112
641331250345522520
72351201624221032
oct257056152300260
946536873285663
1012032110330032
113919875672041
121423aa14a3440
1369381404b680
142d8500401c52
1515ceb1e5263c
hexaf171a980b0

12032110330032 has 160 divisors (see below), whose sum is σ = 34631660306880. Its totient is φ = 3574171238400.

The previous prime is 12032110330001. The next prime is 12032110330057. The reversal of 12032110330032 is 23003301123021.

It is a super-2 number, since 2×120321103300322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12032110329990 and 12032110330008.

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 31 ways as a sum of consecutive naturals, for example, 224381688 + ... + 224435304.

It is an arithmetic number, because the mean of its divisors is an integer number (216447876918).

Almost surely, 212032110330032 is an apocalyptic number.

12032110330032 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 12032110330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315830153440).

12032110330032 is an abundant number, since it is smaller than the sum of its proper divisors (22599549976848).

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

12032110330032 is a wasteful number, since it uses less digits than its factorization.

12032110330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66071 (or 66065 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12032110330032 its reverse (23003301123021), we get a palindrome (35035411453053).

The spelling of 12032110330032 in words is "twelve trillion, thirty-two billion, one hundred ten million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 12401 18096 24802 37203 49604 53617 74406 99208 107234 148812 160851 161213 198416 214468 297624 321702 322426 359629 428936 483639 595248 643404 644852 697021 719258 857872 967278 1078887 1286808 1289704 1394042 1438516 1554893 1934556 2091063 2157774 2573616 2579408 2788084 2877032 3109786 3869112 4182126 4315548 4664679 4675177 5576168 5754064 6219572 7738224 8364252 8631096 9329358 9350354 11152336 12439144 14025531 16728504 17262192 18658716 18700708 20213609 24878288 28051062 33457008 37317432 37401416 40427218 56102124 60640827 74634864 74802832 80854436 112204248 121281654 161708872 224408496 242563308 323417744 485126616 664904417 970253232 1329808834 1994713251 2659617668 3989426502 5319235336 7978853004 8643757421 10638470672 15957706008 17287514842 19282228093 25931272263 31915412016 34575029684 38564456186 51862544526 57846684279 69150059368 77128912372 103725089052 115693368558 138300118736 154257824744 207450178104 231386737116 250668965209 308515649488 414900356208 462773474232 501337930418 752006895627 925546948464 1002675860836 1504013791254 2005351721672 3008027582508 4010703443344 6016055165016 12032110330032