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12011000011021 = 11217411492713527
BaseRepresentation
bin1010111011001000011101…
…1000111001100100001101
31120112020111020112120011001
42232302013120321210031
53033242012000323041
641313435514300301
72346523530402334
oct256620730714415
946466436476131
1012011000011021
11391092241aa00
12141b98b727691
1369182b61c24b
142d749a892d1b
1515c6789b3131
hexaec8763990d

12011000011021 has 96 divisors (see below), whose sum is σ = 14473120435200. Its totient is φ = 9919286784000.

The previous prime is 12011000011013. The next prime is 12011000011033.

12011000011021 is nontrivially palindromic in base 10.

12011000011021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12011000011021 - 23 = 12011000011013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12011000010989 and 12011000011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011000011121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3405441960 + ... + 3405445486.

It is an arithmetic number, because the mean of its divisors is an integer number (150761671200).

Almost surely, 212011000011021 is an apocalyptic number.

12011000011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011000011021 is a deficient number, since it is larger than the sum of its proper divisors (2462120424179).

12011000011021 is a wasteful number, since it uses less digits than its factorization.

12011000011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 120110000 and 11021, that added together give a palindrome (120121021).

The spelling of 12011000011021 in words is "twelve trillion, eleven billion, eleven thousand, twenty-one".

Divisors: 1 11 17 41 121 149 187 271 451 697 1639 2057 2533 2981 3527 4607 4961 6109 7667 11111 18029 27863 32791 38797 40379 50677 59959 67199 84337 103853 122221 144607 188887 306493 426767 444169 525523 557447 659549 686443 739189 955817 1142383 1344431 1590677 1655539 2077757 2458319 4885859 5780753 7255039 7550873 8933891 10513987 12566213 16248889 17497447 18210929 21546443 22855327 27041509 28144163 39188497 63588283 83059603 98272801 115653857 142416733 178737779 200320219 237010873 297456599 309585793 366289531 431073467 666204449 1081000811 1566584063 1966115569 2421084461 2607119603 3405443723 4029184841 4741808137 5839086053 7328248939 17232424693 26631929071 44321033251 64229946583 80610738329 99264462901 292951219781 706529412413 1091909091911 12011000011021