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2011042341 = 327117094093
BaseRepresentation
bin111011111011110…
…0001001000100101
312012011010112110200
41313313201020211
513104311323331
6531315341113
7100556402130
oct16767411045
95164115420
102011042341
119421a9970
124815b1799
132608424a9
14151131217
15bb8445e6
hex77de1225

2011042341 has 48 divisors (see below), whose sum is σ = 3627611520. Its totient is φ = 1042968960.

The previous prime is 2011042337. The next prime is 2011042343. The reversal of 2011042341 is 1432401102.

2011042341 is a `hidden beast` number, since 201 + 1 + 0 + 423 + 41 = 666.

It is not a de Polignac number, because 2011042341 - 22 = 2011042337 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011042343) 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, 489291 + ... + 493383.

It is an arithmetic number, because the mean of its divisors is an integer number (75575240).

Almost surely, 22011042341 is an apocalyptic number.

2011042341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011042341 is a deficient number, since it is larger than the sum of its proper divisors (1616569179).

2011042341 is a wasteful number, since it uses less digits than its factorization.

2011042341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2011042341 is about 44844.6467373755. The cubic root of 2011042341 is about 1262.2355418494.

Adding to 2011042341 its reverse (1432401102), we get a palindrome (3443443443).

The spelling of 2011042341 in words is "two billion, eleven million, forty-two thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 709 2127 4093 4963 6381 7799 12279 14889 23397 28651 36837 44667 45023 54593 70191 85953 135069 163779 257859 315161 405207 491337 945483 2836449 2901937 8705811 20313559 26117433 31921307 60940677 95763921 182822031 223449149 287291763 670347447 2011042341