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201212404131 = 32310926753411
BaseRepresentation
bin1011101101100100110…
…0011010000110100011
3201020100211122012022010
42323121030122012203
511244040333413011
6232234040044003
720352142133634
oct2733114320643
9636324565263
10201212404131
117837417a392
1232bb5763603
1315c8856757b
149a4b11d88b
155379b101a6
hex2ed931a1a3

201212404131 has 16 divisors (see below), whose sum is σ = 282516030720. Its totient is φ = 127132204320.

The previous prime is 201212404123. The next prime is 201212404157. The reversal of 201212404131 is 131404212102.

201212404131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201212404131 - 23 = 201212404123 is a prime.

It is a super-3 number, since 3×2012124041313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 201212404098 and 201212404107.

It is not an unprimeable number, because it can be changed into a prime (201212404231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13369185 + ... + 13384226.

It is an arithmetic number, because the mean of its divisors is an integer number (17657251920).

Almost surely, 2201212404131 is an apocalyptic number.

201212404131 is a deficient number, since it is larger than the sum of its proper divisors (81303626589).

201212404131 is a wasteful number, since it uses less digits than its factorization.

201212404131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26753546.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 201212404131 its reverse (131404212102), we get a palindrome (332616616233).

The spelling of 201212404131 in words is "two hundred one billion, two hundred twelve million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 3 23 69 109 327 2507 7521 26753411 80260233 615328453 1845985359 2916121799 8748365397 67070801377 201212404131