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13155113432400 = 2435299397110291
BaseRepresentation
bin1011111101101110100111…
…0111001111010101010000
31201120121122110210022201020
42333123221313033111100
53211013133014314100
643551213051435440
72525265655126002
oct277335167172520
951517573708636
1013155113432400
114212063641335
121585670a55b80
137456a2730c04
143369d4964372
1517c2dc1275a0
hexbf6e9dcf550

13155113432400 has 120 divisors (see below), whose sum is σ = 42141019406304. Its totient is φ = 3507963148800.

The previous prime is 13155113432341. The next prime is 13155113432429. The reversal of 13155113432400 is 423431155131.

It is a tau number, because it is divible by the number of its divisors (120).

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, 119221255 + ... + 119331545.

Almost surely, 213155113432400 is an apocalyptic number.

13155113432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13155113432400 is an abundant number, since it is smaller than the sum of its proper divisors (28985905973904).

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

13155113432400 is a wasteful number, since it uses less digits than its factorization.

13155113432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209709 (or 209698 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 13155113432400 its reverse (423431155131), we get a palindrome (13578544587531).

The spelling of 13155113432400 in words is "thirteen trillion, one hundred fifty-five billion, one hundred thirteen million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 99397 110291 198794 220582 298191 330873 397588 441164 496985 551455 596382 661746 795176 882328 993970 1102910 1192764 1323492 1490955 1590352 1654365 1764656 1987940 2205820 2385528 2484925 2646984 2757275 2981910 3308730 3975880 4411640 4771056 4969850 5293968 5514550 5963820 6617460 7454775 7951760 8271825 8823280 9939700 11029100 11927640 13234920 14909550 16543650 19879400 22058200 23855280 26469840 29819100 33087300 39758800 44116400 59638200 66174600 119276400 132349200 10962594527 21925189054 32887783581 43850378108 54812972635 65775567162 87700756216 109625945270 131551134324 164438917905 175401512432 219251890540 263102268648 274064863175 328877835810 438503781080 526204537296 548129726350 657755671620 822194589525 877007562160 1096259452700 1315511343240 1644389179050 2192518905400 2631022686480 3288778358100 4385037810800 6577556716200 13155113432400