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13225116123360 = 253451020456491
BaseRepresentation
bin1100000001110011011001…
…0110010100000011100000
31201211022100002012110220000
43000130312112110003200
53213140014211421420
644043311240220000
72533324464154011
oct300346626240340
951738302173800
1013225116123360
114239816301139
12159714876a600
1374c17a5ab33b
1433a155a7b008
1517e037aba690
hexc07365940e0

13225116123360 has 120 divisors (see below), whose sum is σ = 46673639031096. Its totient is φ = 3526697629440.

The previous prime is 13225116123293. The next prime is 13225116123383. The reversal of 13225116123360 is 6332161152231.

13225116123360 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 1 + 1 + 612 + 3 + 36 + 0 = 666.

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

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 510215286 + ... + 510241205.

Almost surely, 213225116123360 is an apocalyptic number.

13225116123360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13225116123360 is an abundant number, since it is smaller than the sum of its proper divisors (33448522907736).

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

13225116123360 is a wasteful number, since it uses less digits than its factorization.

13225116123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020456518 (or 1020456501 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 13225116123360 its reverse (6332161152231), we get a palindrome (19557277275591).

The spelling of 13225116123360 in words is "thirteen trillion, two hundred twenty-five billion, one hundred sixteen million, one hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 1020456491 2040912982 3061369473 4081825964 5102282455 6122738946 8163651928 9184108419 10204564910 12245477892 15306847365 16327303856 18368216838 20409129820 24490955784 27552325257 30613694730 32654607712 36736433676 40818259640 45920542095 48981911568 55104650514 61227389460 73472867352 81636519280 82656975771 91841084190 97963823136 110209301028 122454778920 137761626285 146945734704 163273038560 165313951542 183682168380 220418602056 244909557840 275523252570 293891469408 330627903084 367364336760 413284878855 440837204112 489819115680 551046505140 661255806168 734728673520 826569757710 881674408224 1102093010280 1322511612336 1469457347040 1653139515420 2204186020560 2645023224672 3306279030840 4408372041120 6612558061680 13225116123360