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211131322331 is a prime number
BaseRepresentation
bin1100010010100001101…
…0000100111111011011
3202011222002211110002212
43010220122010333123
511424344104303311
6240554204545335
721153013425536
oct3045032047733
9664862743085
10211131322331
11815a4144446
1234b0355224b
1316ba9506137
14a30c5b7a1d
15575a803c8b
hex3128684fdb

211131322331 has 2 divisors, whose sum is σ = 211131322332. Its totient is φ = 211131322330.

The previous prime is 211131322319. The next prime is 211131322349. The reversal of 211131322331 is 133223131112.

211131322331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211131322331 is a prime.

It is a super-2 number, since 2×2111313223312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211131322297 and 211131322306.

It is not a weakly prime, because it can be changed into another prime (211131322531) 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 as a sum of consecutive naturals, namely, 105565661165 + 105565661166.

It is an arithmetic number, because the mean of its divisors is an integer number (105565661166).

Almost surely, 2211131322331 is an apocalyptic number.

211131322331 is a deficient number, since it is larger than the sum of its proper divisors (1).

211131322331 is an equidigital number, since it uses as much as digits as its factorization.

211131322331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 211131322331 its reverse (133223131112), we get a palindrome (344354453443).

The spelling of 211131322331 in words is "two hundred eleven billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred thirty-one".