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12103420014 = 2327198535927
BaseRepresentation
bin10110100010110101…
…11000100001101110
31011020111201102221100
423101122320201232
5144241433420024
65321002143530
7605635241550
oct132132704156
934214642840
1012103420014
115151079664
1224194b1ba6
1311ab704bba
1482b65d4d0
154ac89d7c9
hex2d16b886e

12103420014 has 96 divisors (see below), whose sum is σ = 31590074880. Its totient is φ = 3271720896.

The previous prime is 12103420013. The next prime is 12103420027. The reversal of 12103420014 is 41002430121.

12103420014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103420013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039119 + ... + 2045045.

It is an arithmetic number, because the mean of its divisors is an integer number (329063280).

Almost surely, 212103420014 is an apocalyptic number.

12103420014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103420014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15795037440).

12103420014 is an abundant number, since it is smaller than the sum of its proper divisors (19486654866).

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

12103420014 is a wasteful number, since it uses less digits than its factorization.

12103420014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12103420014 its reverse (41002430121), we get a palindrome (53105850135).

The spelling of 12103420014 in words is "twelve billion, one hundred three million, four hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 853 1197 1706 2394 2559 5118 5927 5971 7677 11854 11942 15354 16207 17781 17913 32414 35562 35826 41489 48621 53343 53739 82978 97242 106686 107478 112613 113449 124467 145863 225226 226898 248934 291726 337839 340347 373401 675678 680694 746802 788291 1013517 1021041 1576582 2027034 2042082 2364873 4729746 5055731 7094619 10111462 14189238 15167193 30334386 35390117 45501579 70780234 91003158 96058889 106170351 192117778 212340702 288176667 318511053 576353334 637022106 672412223 864530001 1344824446 1729060002 2017236669 4034473338 6051710007 12103420014