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13105938420 = 2232581189779
BaseRepresentation
bin11000011010010110…
…01011111111110100
31020211101010122122200
430031023023333310
5203320110012140
610004253424500
7642530432001
oct141513137764
936741118580
1013105938420
115615a62573
12265919b130
13130b314463
148c48648a8
1551a8cb030
hex30d2cbff4

13105938420 has 72 divisors (see below), whose sum is σ = 39804142560. Its totient is φ = 3490568640.

The previous prime is 13105938397. The next prime is 13105938451. The reversal of 13105938420 is 2483950131.

13105938420 is a `hidden beast` number, since 13 + 10 + 593 + 8 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101091 + ... + 190869.

Almost surely, 213105938420 is an apocalyptic number.

13105938420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105938420 is an abundant number, since it is smaller than the sum of its proper divisors (26698204140).

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

13105938420 is a wasteful number, since it uses less digits than its factorization.

13105938420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90605 (or 90600 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13105938420 in words is "thirteen billion, one hundred five million, nine hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 811 1622 2433 3244 4055 4866 7299 8110 9732 12165 14598 16220 24330 29196 36495 48660 72990 89779 145980 179558 269337 359116 448895 538674 808011 897790 1077348 1346685 1616022 1795580 2693370 3232044 4040055 5386740 8080110 16160220 72810769 145621538 218432307 291243076 364053845 436864614 655296921 728107690 873729228 1092161535 1310593842 1456215380 2184323070 2621187684 3276484605 4368646140 6552969210 13105938420