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211111132331 = 114310136712041
BaseRepresentation
bin1100010010011100110…
…1000011110010101011
3202011220200211200122002
43010213031003302223
511424323422213311
6240552204121215
721152350005551
oct3044715036253
9664820750562
10211111132331
11815938043a0
1234ab883620b
1316ba52873a8
14a309a3dbd1
155758b6693b
hex3127343cab

211111132331 has 32 divisors (see below), whose sum is σ = 238660494336. Its totient is φ = 185078880000.

The previous prime is 211111132279. The next prime is 211111132333. The reversal of 211111132331 is 133231111112.

211111132331 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 211111132331 - 222 = 211106938027 is a prime.

It is a super-2 number, since 2×2111111323312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211111132333) 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 31 ways as a sum of consecutive naturals, for example, 17526671 + ... + 17538711.

It is an arithmetic number, because the mean of its divisors is an integer number (7458140448).

Almost surely, 2211111132331 is an apocalyptic number.

211111132331 is a deficient number, since it is larger than the sum of its proper divisors (27549362005).

211111132331 is a wasteful number, since it uses less digits than its factorization.

211111132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12563.

The product of its digits is 108, while the sum is 20.

Adding to 211111132331 its reverse (133231111112), we get a palindrome (344342243443).

The spelling of 211111132331 in words is "two hundred eleven billion, one hundred eleven million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 11 43 101 367 473 1111 4037 4343 12041 15781 37067 47773 132451 173591 407737 517763 1216141 1593881 4419047 5695393 13377551 17532691 48609517 52294063 190019021 446323747 575234693 2090209231 4909561217 19191921121 211111132331