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211101132331 is a prime number
BaseRepresentation
bin1100010010011010011…
…0111010011000101011
3202011220000000122012201
43010212212322120223
511424313342213311
6240551205521031
721152166006205
oct3044646723053
9664800018181
10211101132331
11815890a4231
1234ab5413177
1316ba319582b
14a308599775
155757d3d9c1
hex31269ba62b

211101132331 has 2 divisors, whose sum is σ = 211101132332. Its totient is φ = 211101132330.

The previous prime is 211101132317. The next prime is 211101132343. The reversal of 211101132331 is 133231101112.

211101132331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 211101132331 - 25 = 211101132299 is a prime.

It is a super-2 number, since 2×2111011323312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211101132299 and 211101132308.

It is not a weakly prime, because it can be changed into another prime (211101132311) 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, 105550566165 + 105550566166.

It is an arithmetic number, because the mean of its divisors is an integer number (105550566166).

Almost surely, 2211101132331 is an apocalyptic number.

211101132331 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101132331 is an equidigital number, since it uses as much as digits as its factorization.

211101132331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 211101132331 its reverse (133231101112), we get a palindrome (344332233443).

The spelling of 211101132331 in words is "two hundred eleven billion, one hundred one million, one hundred thirty-two thousand, three hundred thirty-one".