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12051105513414 = 231128922095609
BaseRepresentation
bin1010111101011101110111…
…0111001111111111000110
31120200002000021010011201120
42233113131313033333012
53034421131002412124
641344111302334410
72352443425503312
oct257273567177706
946602007104646
1012051105513414
113926932988500
121427702a2a406
136955504c0956
142d93c3084b42
1515d724889d79
hexaf5dddcffc6

12051105513414 has 72 divisors (see below), whose sum is σ = 26793539009160. Its totient is φ = 3610816408320.

The previous prime is 12051105513413. The next prime is 12051105513467. The reversal of 12051105513414 is 41431550115021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12051105513413) 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 35 ways as a sum of consecutive naturals, for example, 4702842 + ... + 6798450.

Almost surely, 212051105513414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12051105513414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13396769504580).

12051105513414 is an abundant number, since it is smaller than the sum of its proper divisors (14742433495746).

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

12051105513414 is a wasteful number, since it uses less digits than its factorization.

12051105513414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095814 (or 2095714 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 12051105513414 its reverse (41431550115021), we get a palindrome (53482655628435).

The spelling of 12051105513414 in words is "twelve trillion, fifty-one billion, one hundred five million, five hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 89 121 178 242 267 363 534 726 979 1958 2937 5874 7921 10769 15842 21538 23763 32307 47526 64614 87131 174262 261393 522786 958441 1916882 2095609 2875323 4191218 5750646 6286827 12573654 23051699 46103398 69155097 138310194 186509201 253568689 373018402 507137378 559527603 760706067 1119055206 1521412134 2051601211 4103202422 6154803633 12309607266 16599318889 22567613321 33198637778 45135226642 49797956667 67702839963 99595913334 135405679926 182592507779 365185015558 547777523337 1095555046674 2008517585569 4017035171138 6025552756707 12051105513414