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12010110094728 = 23325691153254257
BaseRepresentation
bin1010111011000101001001…
…0110001000110110001000
31120112011012020000010111100
42232301102112020312020
53033233201141012403
641313211324301400
72346462503262234
oct256612226106610
946464166003440
1012010110094728
113910506055699
12141b7816a1860
13691719146565
142d74145dd5c4
1515c6257c92a3
hexaec52588d88

12010110094728 has 96 divisors (see below), whose sum is σ = 32612936311800. Its totient is φ = 3992852496384.

The previous prime is 12010110094727. The next prime is 12010110094729. The reversal of 12010110094728 is 82749001101021.

It is an interprime number because it is at equal distance from previous prime (12010110094727) and next prime (12010110094729).

It can be written as a sum of positive squares in 4 ways, for example, as 9017756749764 + 2992353344964 = 3002958^2 + 1729842^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12010110094692 and 12010110094701.

It is not an unprimeable number, because it can be changed into a prime (12010110094721) 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, 47108976 + ... + 47363232.

Almost surely, 212010110094728 is an apocalyptic number.

12010110094728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12010110094728 is an abundant number, since it is smaller than the sum of its proper divisors (20602826217072).

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

12010110094728 is a wasteful number, since it uses less digits than its factorization.

12010110094728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255991 (or 255984 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 12010110094728 its reverse (82749001101021), we get a palindrome (94759111195749).

The spelling of 12010110094728 in words is "twelve trillion, ten billion, one hundred ten million, ninety-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 569 1138 1153 1707 2276 2306 3414 3459 4552 4612 5121 6828 6918 9224 10242 10377 13656 13836 20484 20754 27672 40968 41508 83016 254257 508514 656057 762771 1017028 1312114 1525542 1968171 2034056 2288313 2624228 3051084 3936342 4576626 5248456 5904513 6102168 7872684 9153252 11809026 15745368 18306504 23618052 47236104 144672233 289344466 293158321 434016699 578688932 586316642 868033398 879474963 1157377864 1172633284 1302050097 1736066796 1758949926 2345266568 2604100194 2638424889 3472133592 3517899852 5208200388 5276849778 7035799704 10416400776 10553699556 21107399112 166807084649 333614169298 500421253947 667228338596 1000842507894 1334456677192 1501263761841 2001685015788 3002527523682 4003370031576 6005055047364 12010110094728