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12142103420 = 22523179239617
BaseRepresentation
bin10110100111011100…
…11100101101111100
31011100012111202121002
423103232130231330
5144331334302140
65324503225432
7606615114266
oct132356345574
934305452532
1012142103420
1151709a0017
12242a448278
1311b672a3a5
1483284cb36
154b0e90415
hex2d3b9cb7c

12142103420 has 96 divisors (see below), whose sum is σ = 26911180800. Its totient is φ = 4592935424.

The previous prime is 12142103419. The next prime is 12142103447. The reversal of 12142103420 is 2430124121.

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 = 12142103392 and 12142103401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19678952 + ... + 19679568.

It is an arithmetic number, because the mean of its divisors is an integer number (280324800).

Almost surely, 212142103420 is an apocalyptic number.

12142103420 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 12142103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13455590400).

12142103420 is an abundant number, since it is smaller than the sum of its proper divisors (14769077380).

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

12142103420 is a wasteful number, since it uses less digits than its factorization.

12142103420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12142103420 its reverse (2430124121), we get a palindrome (14572227541).

The spelling of 12142103420 in words is "twelve billion, one hundred forty-two million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 179 230 239 358 460 478 617 716 895 956 1195 1234 1790 2390 2468 3085 3580 4117 4780 5497 6170 8234 10994 12340 14191 16468 20585 21988 27485 28382 41170 42781 54970 56764 70955 82340 85562 109940 110443 141910 147463 171124 213905 220886 283820 294926 427810 441772 552215 589852 737315 855620 983963 1104430 1474630 1967926 2208860 2540189 2949260 3391649 3935852 4919815 5080378 6783298 9839630 10160756 12700945 13566596 16958245 19679260 25401890 26395877 33916490 50803780 52791754 67832980 105583508 131979385 263958770 527917540 607105171 1214210342 2428420684 3035525855 6071051710 12142103420