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211100301132331 = 13314737907294013
BaseRepresentation
bin101111111111111010011110…
…011101100000001000101011
31000200102222202221120012000211
4233333322132131200020223
5210132131404042213311
62024550050050241551
762315331153203362
oct5777723635401053
91020388687505024
10211100301132331
1161299153685556
121b81479b8862b7
1390a38996c8980
143a1b4482067d9
15196130b117821
hexbffe9e76022b

211100301132331 has 32 divisors (see below), whose sum is σ = 239672460238848. Its totient is φ = 184558200520320.

The previous prime is 211100301132223. The next prime is 211100301132367. The reversal of 211100301132331 is 133231103001112.

It is a cyclic number.

It is not a de Polignac number, because 211100301132331 - 245 = 175915929043499 is a prime.

It is a super-2 number, since 2×2111003011323312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211100301132031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717849481 + ... + 718143493.

It is an arithmetic number, because the mean of its divisors is an integer number (7489764382464).

Almost surely, 2211100301132331 is an apocalyptic number.

211100301132331 is a deficient number, since it is larger than the sum of its proper divisors (28572159106517).

211100301132331 is a wasteful number, since it uses less digits than its factorization.

211100301132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332011.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 211100301132331 its reverse (133231103001112), we get a palindrome (344331404133443).

The spelling of 211100301132331 in words is "two hundred eleven trillion, one hundred billion, three hundred one million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 13 31 47 403 611 1457 18941 37907 294013 492791 1175117 1781629 3822169 9114403 13818611 15276521 23161177 55230499 118487239 179641943 428376941 717996487 5568900233 11145150791 144886960283 345499674521 523822087177 4491495768773 6809687133301 16238484702487 211100301132331