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13113222013200 = 2435228403384737
BaseRepresentation
bin1011111011010010100011…
…1100001010000100010000
31201102121111222200201211210
42332310220330022010100
53204321334313410300
643520044145140120
72522253603004341
oct276645074120420
951377458621753
1013113222013200
1141a6316a69031
12157951b62a640
137417578606ba
1433497d0c40c8
1517b18957a050
hexbed28f0a110

13113222013200 has 120 divisors (see below), whose sum is σ = 42007609296288. Its totient is φ = 3496726999040.

The previous prime is 13113222013163. The next prime is 13113222013201. The reversal of 13113222013200 is 231022231131.

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

It is not an unprimeable number, because it can be changed into a prime (13113222013201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33891232 + ... + 34275968.

Almost surely, 213113222013200 is an apocalyptic number.

13113222013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113222013200 is an abundant number, since it is smaller than the sum of its proper divisors (28894387283088).

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

13113222013200 is a wasteful number, since it uses less digits than its factorization.

13113222013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413161 (or 413150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13113222013200 its reverse (231022231131), we get a palindrome (13344244244331).

The spelling of 13113222013200 in words is "thirteen trillion, one hundred thirteen billion, two hundred twenty-two million, thirteen thousand, two 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 28403 56806 85209 113612 142015 170418 227224 284030 340836 384737 426045 454448 568060 681672 710075 769474 852090 1136120 1154211 1363344 1420150 1538948 1704180 1923685 2130225 2272240 2308422 2840300 3077896 3408360 3847370 4260450 4616844 5680600 5771055 6155792 6816720 7694740 8520900 9233688 9618425 11361200 11542110 15389480 17041800 18467376 19236850 23084220 28855275 30778960 34083600 38473700 46168440 57710550 76947400 92336880 115421100 153894800 230842200 461684400 10927685011 21855370022 32783055033 43710740044 54638425055 65566110066 87421480088 109276850110 131132220132 163915275165 174842960176 218553700220 262264440264 273192125275 327830550330 437107400440 524528880528 546384250550 655661100660 819576375825 874214800880 1092768501100 1311322201320 1639152751650 2185537002200 2622644402640 3278305503300 4371074004400 6556611006600 13113222013200