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13331001200111 = 7179713747917599
BaseRepresentation
bin1100000111111101110110…
…0101110100110111101111
31202012102122101122200202022
43001333131211310313233
53221403342301400421
644204102153020355
72544063431362460
oct301773545646757
952172571580668
1013331001200111
11427a711703531
1215b37793b46bb
137591534195ca
1434131c552d67
15181b837db7ab
hexc1fdd974def

13331001200111 has 64 divisors (see below), whose sum is σ = 16452108288000. Its totient is φ = 10543203385344.

The previous prime is 13331001200081. The next prime is 13331001200117. The reversal of 13331001200111 is 11100210013331.

It is a de Polignac number, because none of the positive numbers 2k-13331001200111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 13331001200111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331001200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757477490 + ... + 757495088.

It is an arithmetic number, because the mean of its divisors is an integer number (257064192000).

Almost surely, 213331001200111 is an apocalyptic number.

13331001200111 is a deficient number, since it is larger than the sum of its proper divisors (3121107087889).

13331001200111 is a wasteful number, since it uses less digits than its factorization.

13331001200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18336.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13331001200111 its reverse (11100210013331), we get a palindrome (24431211213442).

The spelling of 13331001200111 in words is "thirteen trillion, three hundred thirty-one billion, one million, two hundred thousand, one hundred eleven".

Divisors: 1 7 17 97 119 137 479 679 959 1649 2329 3353 8143 11543 13289 16303 17599 46463 57001 65623 93023 123193 225913 299183 325241 459361 789871 1115591 1581391 1707103 2094281 2411063 5529097 6365431 7809137 8429921 11949721 16877441 29020751 40988071 44558017 59009447 108212327 143308657 203145257 233873111 286916497 757486289 817702337 1003160599 1154899177 1637111777 3975842887 5723916359 8084294239 13900939729 19633286009 27830900209 97306578103 112025220169 137433002063 784176541183 1904428742873 13331001200111