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201141404331 = 3726189252037
BaseRepresentation
bin1011101101010011110…
…1100100001010101011
3201020011220001000212220
42323110331210022223
511243414144414311
6232223022205123
720350320504300
oct2732475441253
9636156030786
10201141404331
117833809616a
1232b95a237a3
1315c7693895a
149a4191b0a7
155373788206
hex2ed4f642ab

201141404331 has 48 divisors (see below), whose sum is σ = 320652825120. Its totient is φ = 111783006720.

The previous prime is 201141404291. The next prime is 201141404333. The reversal of 201141404331 is 133404141102.

It is not a de Polignac number, because 201141404331 - 29 = 201141403819 is a prime.

It is a super-2 number, since 2×2011414043312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201141404333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672045 + ... + 924081.

It is an arithmetic number, because the mean of its divisors is an integer number (6680267190).

Almost surely, 2201141404331 is an apocalyptic number.

201141404331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201141404331 is a deficient number, since it is larger than the sum of its proper divisors (119511420789).

201141404331 is a wasteful number, since it uses less digits than its factorization.

201141404331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252204 (or 252197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201141404331 its reverse (133404141102), we get a palindrome (334545545433).

The spelling of 201141404331 in words is "two hundred one billion, one hundred forty-one million, four hundred four thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 61 89 147 183 267 427 623 1281 1869 2989 4361 5429 8967 13083 16287 38003 114009 252037 266021 756111 798063 1764259 5292777 12349813 15374257 22431293 37049439 46122771 67293879 107619799 157019051 322859397 471057153 753338593 1099133357 1368308873 2260015779 3297400071 4104926619 9578162111 28734486333 67047134777 201141404331