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13501301415030 = 23251121395368379
BaseRepresentation
bin1100010001111000010001…
…0001100101110001110110
31202210201012220112222022200
43010132010101211301312
53232201131130240110
644414225013405330
72562302556334002
oct304360421456166
952721186488280
1013501301415030
114335962741600
121620786639846
1376c223618250
14349676017702
151862ee6896c0
hexc4784465c76

13501301415030 has 144 divisors (see below), whose sum is σ = 41552766113040. Its totient is φ = 3021270215040.

The previous prime is 13501301415029. The next prime is 13501301415037. The reversal of 13501301415030 is 3051410310531.

It is a happy number.

13501301415030 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 13 + 0 + 141 + 503 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13501301414985 and 13501301415003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13501301415037) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47542620 + ... + 47825759.

It is an arithmetic number, because the mean of its divisors is an integer number (288560875785).

Almost surely, 213501301415030 is an apocalyptic number.

13501301415030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13501301415030 is an abundant number, since it is smaller than the sum of its proper divisors (28051464698010).

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

13501301415030 is a wasteful number, since it uses less digits than its factorization.

13501301415030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95368427 (or 95368413 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 13501301415030 its reverse (3051410310531), we get a palindrome (16552711725561).

The spelling of 13501301415030 in words is "thirteen trillion, five hundred one billion, three hundred one million, four hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 121 130 143 165 195 198 234 242 286 330 363 390 429 495 585 605 715 726 858 990 1089 1170 1210 1287 1430 1573 1815 2145 2178 2574 3146 3630 4290 4719 5445 6435 7865 9438 10890 12870 14157 15730 23595 28314 47190 70785 141570 95368379 190736758 286105137 476841895 572210274 858315411 953683790 1049052169 1239788927 1430525685 1716630822 2098104338 2479577854 2861051370 3147156507 3719366781 4291577055 5245260845 6198944635 6294313014 7438733562 8583154110 9441469521 10490521690 11158100343 11539573859 12397889270 13637678197 15735782535 18596833905 18882939042 22316200686 23079147718 27275356394 31471565070 34618721577 37193667810 40913034591 47207347605 55790501715 57697869295 68188390985 69237443154 81826069182 94414695210 103856164731 111581003430 115395738590 122739103773 136376781970 150014460167 173093607885 204565172955 207712329462 245478207546 300028920334 346187215770 409130345910 450043380501 519280823655 613695518865 750072300835 900086761002 1038561647310 1227391037730 1350130141503 1500144601670 2250216902505 2700260283006 4500433805010 6750650707515 13501301415030