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122800341141 = 33234310194513
BaseRepresentation
bin111001001011101111…
…0001000000010010101
3102201222011111200101000
41302113132020002111
54002443341404031
6132225205253513
711605051451202
oct1622736100225
9381864450330
10122800341141
1148096655945
121b971704299
13b77040396a
145d2d218ca9
1532dac5b3e6
hex1c97788095

122800341141 has 64 divisors (see below), whose sum is σ = 194484787200. Its totient is φ = 76394368512.

The previous prime is 122800341107. The next prime is 122800341151. The reversal of 122800341141 is 141143008221.

122800341141 is a `hidden beast` number, since 1 + 2 + 280 + 0 + 341 + 1 + 41 = 666.

It is not a de Polignac number, because 122800341141 - 215 = 122800308373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122800341151) 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 63 ways as a sum of consecutive naturals, for example, 27208101 + ... + 27212613.

It is an arithmetic number, because the mean of its divisors is an integer number (3038824800).

Almost surely, 2122800341141 is an apocalyptic number.

It is an amenable number.

122800341141 is a deficient number, since it is larger than the sum of its proper divisors (71684446059).

122800341141 is a wasteful number, since it uses less digits than its factorization.

122800341141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 122800341141 its reverse (141143008221), we get a palindrome (263943349362).

The spelling of 122800341141 in words is "one hundred twenty-two billion, eight hundred million, three hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 9 23 27 43 69 129 207 387 621 989 1019 1161 2967 3057 4513 8901 9171 13539 23437 26703 27513 40617 43817 70311 103799 121851 131451 194059 210933 311397 394353 582177 632799 934191 1007791 1183059 1746531 2802573 3023373 4463357 4598747 5239593 9070119 13390071 13796241 27210357 40170213 41388723 105771181 120510639 124166169 197746121 317313543 593238363 951940629 1779715089 2855821887 4548160783 5339145267 13644482349 40933447047 122800341141