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12103366140 = 22335163137507
BaseRepresentation
bin10110100010110101…
…01011010111111100
31011020111121201001000
423101122223113330
5144241430204030
65321001050300
7605634625515
oct132132532774
934214551030
1012103366140
115151042138
122419486990
1311ab6b6518
1482b647a0c
154ac88c860
hex2d16ab5fc

12103366140 has 96 divisors (see below), whose sum is σ = 37886204160. Its totient is φ = 3207739968.

The previous prime is 12103366129. The next prime is 12103366157. The reversal of 12103366140 is 4166330121.

12103366140 is a `hidden beast` number, since 1 + 2 + 10 + 3 + 36 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 19267 + ... + 156773.

It is an arithmetic number, because the mean of its divisors is an integer number (394647960).

Almost surely, 212103366140 is an apocalyptic number.

12103366140 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 12103366140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943102080).

12103366140 is an abundant number, since it is smaller than the sum of its proper divisors (25782838020).

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

12103366140 is a wasteful number, since it uses less digits than its factorization.

12103366140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137688 (or 137680 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12103366140 its reverse (4166330121), we get a palindrome (16269696261).

The spelling of 12103366140 in words is "twelve billion, one hundred three million, three hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 489 540 652 815 978 1467 1630 1956 2445 2934 3260 4401 4890 5868 7335 8802 9780 14670 17604 22005 29340 44010 88020 137507 275014 412521 550028 687535 825042 1237563 1375070 1650084 2062605 2475126 2750140 3712689 4125210 4950252 6187815 7425378 8250420 12375630 14850756 18563445 22413641 24751260 37126890 44827282 67240923 74253780 89654564 112068205 134481846 201722769 224136410 268963692 336204615 403445538 448272820 605168307 672409230 806891076 1008613845 1210336614 1344818460 2017227690 2420673228 3025841535 4034455380 6051683070 12103366140