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12803117134104 = 233211194631837621
BaseRepresentation
bin1011101001001111010100…
…1111111011000100011000
31200022222002020122122220100
42322103311033323010120
53134231240441242404
643121400521255400
72460665115014043
oct272236517730430
950288066578810
1012803117134104
114096853933590
1215293b6034560
1371b4373b30bb
14323961d1bc5a
15173089be2d39
hexba4f53fb118

12803117134104 has 192 divisors, whose sum is σ = 39904329254400. Its totient is φ = 3667595500800.

The previous prime is 12803117134091. The next prime is 12803117134163. The reversal of 12803117134104 is 40143171130821.

12803117134104 is a `hidden beast` number, since 1 + 280 + 31 + 1 + 7 + 1 + 341 + 0 + 4 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6048414 + ... + 7886034.

It is an arithmetic number, because the mean of its divisors is an integer number (207835048200).

Almost surely, 212803117134104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12803117134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19952164627200).

12803117134104 is an abundant number, since it is smaller than the sum of its proper divisors (27101212120296).

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

12803117134104 is a wasteful number, since it uses less digits than its factorization.

12803117134104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838126 (or 1838119 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 12803117134104 its reverse (40143171130821), we get a palindrome (52946288264925).

The spelling of 12803117134104 in words is "twelve trillion, eight hundred three billion, one hundred seventeen million, one hundred thirty-four thousand, one hundred four".