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12103413525 = 3352713991831
BaseRepresentation
bin10110100010110101…
…10110111100010101
31011020111201010001000
423101122312330111
5144241433213100
65321002053513
7605635213620
oct132132667425
934214633030
1012103413525
1151510747a5
1224194aa299
1311ab701c68
1482b65adb7
154ac89b900
hex2d16b6f15

12103413525 has 96 divisors (see below), whose sum is σ = 25442816000. Its totient is φ = 5526014400.

The previous prime is 12103413499. The next prime is 12103413541. The reversal of 12103413525 is 52531430121.

12103413525 is a `hidden beast` number, since 121 + 0 + 3 + 4 + 13 + 525 = 666.

It is not a de Polignac number, because 12103413525 - 25 = 12103413493 is a prime.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6609360 + ... + 6611190.

Almost surely, 212103413525 is an apocalyptic number.

12103413525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12103413525 is an abundant number, since it is smaller than the sum of its proper divisors (13339402475).

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

12103413525 is a wasteful number, since it uses less digits than its factorization.

12103413525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12103413525 its reverse (52531430121), we get a palindrome (64634843646).

The spelling of 12103413525 in words is "twelve billion, one hundred three million, four hundred thirteen thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1399 1575 1831 4197 4725 5493 6995 9155 9793 12591 12817 16479 20985 27465 29379 34975 37773 38451 45775 48965 49437 62955 64085 82395 88137 104925 115353 137325 146895 188865 192255 244825 247185 264411 314775 320425 346059 411975 440685 576765 734475 944325 961275 1235925 1322055 1730295 2203425 2561569 2883825 6610275 7684707 8651475 12807845 17930983 23054121 38423535 53792949 64039225 69162363 89654915 115270605 161378847 192117675 268964745 345811815 448274575 484136541 576353025 806894235 1344823725 1729059075 2420682705 4034471175 12103413525