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13103112015 = 345717614457
BaseRepresentation
bin11000011010000000…
…11001111101001111
31020211011211001120000
430031000121331033
5203313344041030
610004113055343
7642464420520
oct141500317517
936734731500
1013103112015
115614401aa4
122658257553
13130a864b26
148c432a847
1551a51d860
hex30d019f4f

13103112015 has 160 divisors (see below), whose sum is σ = 28895543424. Its totient is φ = 5543976960.

The previous prime is 13103111951. The next prime is 13103112017. The reversal of 13103112015 is 51021130131.

13103112015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13103112015 - 26 = 13103111951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2937667 + ... + 2942123.

Almost surely, 213103112015 is an apocalyptic number.

13103112015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13103112015 is an abundant number, since it is smaller than the sum of its proper divisors (15792431409).

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

13103112015 is a wasteful number, since it uses less digits than its factorization.

13103112015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 13103112015 its reverse (51021130131), we get a palindrome (64124242146).

The spelling of 13103112015 in words is "thirteen billion, one hundred three million, one hundred twelve thousand, fifteen".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 61 63 81 85 105 119 135 153 183 189 255 305 315 357 405 427 459 549 567 595 765 915 945 1037 1071 1281 1377 1647 1785 2135 2295 2745 2835 3111 3213 3843 4457 4941 5185 5355 6405 6885 7259 8235 9333 9639 11529 13371 15555 16065 19215 21777 22285 24705 27999 31199 34587 36295 40113 46665 48195 57645 65331 66855 75769 83997 93597 108885 120339 139995 155995 172935 195993 200565 227307 271877 280791 326655 361017 378845 419985 467985 530383 587979 601695 681921 815631 842373 979965 1136535 1359385 1403955 1591149 1805085 1903139 2045763 2446893 2527119 2651915 2939895 3409605 4078155 4211865 4621909 4773447 5709417 6137289 7340679 7955745 9515695 10228815 12234465 12635595 13865727 14320341 17128251 22022037 23109545 23867235 28547085 30686445 32353363 36703395 41597181 42961023 51384753 69328635 71601705 85641255 97060089 110110185 124791543 154154259 161766815 207985905 214805115 256923765 291180267 374374629 485300445 623957715 770771295 873540801 1455901335 1871873145 2620622403 4367704005 13103112015