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12030203111311 = 7117125121114153
BaseRepresentation
bin1010111100001111111111…
…1110111010011110001111
31120121002001112120010111201
42233003333332322132033
53034100323444030221
641330333215330331
72351103435144430
oct257037776723617
946532045503451
1012030203111311
113918a87036420
12142364a8209a7
1369359bb8b198
142d839cdb9487
1515cdee7ba891
hexaf0fffba78f

12030203111311 has 64 divisors (see below), whose sum is σ = 15281453924352. Its totient is φ = 9198756000000.

The previous prime is 12030203111237. The next prime is 12030203111323. The reversal of 12030203111311 is 11311130203021.

It is not a de Polignac number, because 12030203111311 - 219 = 12030202587023 is a prime.

It is a super-2 number, since 2×120302031113112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030203114311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2896748011 + ... + 2896752163.

It is an arithmetic number, because the mean of its divisors is an integer number (238772717568).

Almost surely, 212030203111311 is an apocalyptic number.

12030203111311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12030203111311 is a deficient number, since it is larger than the sum of its proper divisors (3251250813041).

12030203111311 is a wasteful number, since it uses less digits than its factorization.

12030203111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12030203111311 its reverse (11311130203021), we get a palindrome (23341333314332).

The spelling of 12030203111311 in words is "twelve trillion, thirty billion, two hundred three million, one hundred eleven thousand, three hundred eleven".

Divisors: 1 7 11 71 77 251 497 781 1757 2111 2761 4153 5467 14777 17821 19327 23221 29071 45683 124747 149881 162547 196031 294863 319781 529861 1042403 1049167 1372217 1648691 2064041 3243493 3709027 5828471 7296821 8766983 11466433 11540837 22704451 37620131 40799297 61368881 74010613 80265031 96436813 263340917 413821441 518074291 622455793 675057691 814116743 2200512733 2896750087 4357190551 5698817201 6847013723 15403589131 24205640063 47929096061 156236404043 169439480441 1093654828301 1718600444473 12030203111311