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104033433231 = 32713314097579
BaseRepresentation
bin110000011100011100…
…0000011011010001111
3100221112021020222110200
41200320320003122033
53201030024330411
6115443045304543
710342021410030
oct1407070033217
9327467228420
10104033433231
11401361851a2
12181b4705153
139a6c338a20
14506c9d8a87
152a8d3b5e56
hex1838e0368f

104033433231 has 48 divisors (see below), whose sum is σ = 190914447360. Its totient is φ = 53104610880.

The previous prime is 104033433193. The next prime is 104033433247. The reversal of 104033433231 is 132334330401.

104033433231 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 334 + 3 + 323 + 1 = 666.

It is not a de Polignac number, because 104033433231 - 29 = 104033432719 is a prime.

It is a super-2 number, since 2×1040334332312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104033433195 and 104033433204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104033434231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2023401 + ... + 2074178.

It is an arithmetic number, because the mean of its divisors is an integer number (3977384320).

Almost surely, 2104033433231 is an apocalyptic number.

104033433231 is a deficient number, since it is larger than the sum of its proper divisors (86881014129).

104033433231 is a wasteful number, since it uses less digits than its factorization.

104033433231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097636 (or 4097633 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 104033433231 its reverse (132334330401), we get a palindrome (236367763632).

The spelling of 104033433231 in words is "one hundred four billion, thirty-three million, four hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 13 21 31 39 63 91 93 117 217 273 279 403 651 819 1209 1953 2821 3627 8463 25389 4097579 12292737 28683053 36878211 53268527 86049159 127024949 159805581 258147477 372879689 381074847 479416743 889174643 1118639067 1143224541 1651324337 2667523929 3355917201 4953973011 8002571787 11559270359 14861919033 34677811077 104033433231