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12034344343021 = 71113171877376769
BaseRepresentation
bin1010111100011111011011…
…0100011101010111101101
31120121110202011000111102221
42233013312310131113231
53034132314122434041
641332300152315341
72351311162061320
oct257076664352755
946543664014387
1012034344343021
11391a811713070
1214244056a2b51
13693aabb2b750
142d8672db47b7
1515d09313c2d1
hexaf1f6d1d5ed

12034344343021 has 64 divisors (see below), whose sum is σ = 17117631659520. Its totient is φ = 8142529167360.

The previous prime is 12034344343013. The next prime is 12034344343027.

12034344343021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12034344343021 - 23 = 12034344343013 is a prime.

It is a super-2 number, since 2×120343443430212 (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 (12034344343027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31752525 + ... + 32129293.

It is an arithmetic number, because the mean of its divisors is an integer number (267462994680).

Almost surely, 212034344343021 is an apocalyptic number.

12034344343021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12034344343021 is a deficient number, since it is larger than the sum of its proper divisors (5083287316499).

12034344343021 is a wasteful number, since it uses less digits than its factorization.

12034344343021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378694.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 1203434 and 4343021, that added together give a palindrome (5546455).

The spelling of 12034344343021 in words is "twelve trillion, thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, twenty-one".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 1001 1309 1547 1877 2431 13139 17017 20647 24401 31909 144529 170807 223363 268411 350999 376769 414817 1878877 2456993 2637383 2903719 4144459 4562987 4897997 6405073 29011213 31940909 34285979 44835511 53877967 70455803 83265949 377145769 493190621 582861643 707195413 915925439 4950367891 6411478073 7779149543 9193540369 12022322021 54454046801 64354782583 84156254147 101128944059 132245542231 156290186273 707902608413 925718795617 1094031303911 1719192049003 12034344343021