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12103411014 = 2336110333557
BaseRepresentation
bin10110100010110101…
…10110010101000110
31011020111200222121000
423101122312111012
5144241433123024
65321002034130
7605635203402
oct132132662506
934214628530
1012103411014
115151072922
1224194a8946
1311ab700a86
1482b65a102
154ac89acc9
hex2d16b6546

12103411014 has 64 divisors (see below), whose sum is σ = 27371551680. Its totient is φ = 3963375360.

The previous prime is 12103410983. The next prime is 12103411031. The reversal of 12103411014 is 41011430121.

12103411014 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3400924 + ... + 3404480.

It is an arithmetic number, because the mean of its divisors is an integer number (427680495).

Almost surely, 212103411014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103411014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685775840).

12103411014 is an abundant number, since it is smaller than the sum of its proper divisors (15268140666).

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

12103411014 is a wasteful number, since it uses less digits than its factorization.

12103411014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12103411014 its reverse (41011430121), we get a palindrome (53114841135).

The spelling of 12103411014 in words is "twelve billion, one hundred three million, four hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1033 1098 1647 2066 3099 3294 3557 6198 7114 9297 10671 18594 21342 27891 32013 55782 63013 64026 96039 126026 189039 192078 216977 378078 433954 567117 650931 1134234 1301862 1701351 1952793 3402702 3674381 3905586 5858379 7348762 11023143 11716758 22046286 33069429 66138858 99208287 198416574 224137241 448274482 672411723 1344823446 2017235169 4034470338 6051705507 12103411014