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14103141002120 = 2355322392971159
BaseRepresentation
bin1100110100111010010010…
…1101011010101110001000
31211221020200010220201220002
43031032210231122232020
53322031213044031440
645554521000422132
72653626660404462
oct315164455325610
954836603821802
1014103141002120
114548121478105
1216b9349477948
137b3bc7416411
1436a84a71b132
15196cc5c80115
hexcd3a4b5ab88

14103141002120 has 64 divisors (see below), whose sum is σ = 32345236224000. Its totient is φ = 5532343734528.

The previous prime is 14103141002099. The next prime is 14103141002227. The reversal of 14103141002120 is 2120014130141.

14103141002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141031410021202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14103141002092 and 14103141002101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3261101 + ... + 6232259.

It is an arithmetic number, because the mean of its divisors is an integer number (505394316000).

Almost surely, 214103141002120 is an apocalyptic number.

14103141002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14103141002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172618112000).

14103141002120 is an abundant number, since it is smaller than the sum of its proper divisors (18242095221880).

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

14103141002120 is a wasteful number, since it uses less digits than its factorization.

14103141002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973462 (or 2973458 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14103141002120 its reverse (2120014130141), we get a palindrome (16223155132261).

The spelling of 14103141002120 in words is "fourteen trillion, one hundred three billion, one hundred forty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 2239 4478 8956 11195 17912 22390 44780 89560 118667 237334 474668 593335 949336 1186670 2373340 2971159 4746680 5942318 11884636 14855795 23769272 29711590 59423180 118846360 157471427 314942854 629885708 787357135 1259771416 1574714270 3149428540 6298857080 6652425001 13304850002 26609700004 33262125005 53219400008 66524250010 133048500020 266097000040 352578525053 705157050106 1410314100212 1762892625265 2820628200424 3525785250530 7051570501060 14103141002120