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2111131331 is a prime number
BaseRepresentation
bin111110111010101…
…0100111011000011
312110010110120202022
41331311110323003
513310422200311
6545252512055
7103213214561
oct17565247303
95403416668
102111131331
11993751241
124ab01b62b
132784b764a
14160546a31
15c55155db
hex7dd54ec3

2111131331 has 2 divisors, whose sum is σ = 2111131332. Its totient is φ = 2111131330.

The previous prime is 2111131313. The next prime is 2111131343. The reversal of 2111131331 is 1331311112.

Together with previous prime (2111131313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2111131331 is a prime.

It is a super-2 number, since 2×21111313312 = 8913750993459663122, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (2111131301) 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, 1055565665 + 1055565666.

It is an arithmetic number, because the mean of its divisors is an integer number (1055565666).

Almost surely, 22111131331 is an apocalyptic number.

2111131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111131331 is an equidigital number, since it uses as much as digits as its factorization.

2111131331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 17.

The square root of 2111131331 is about 45947.0492088447. The cubic root of 2111131331 is about 1282.8378060054.

Adding to 2111131331 its reverse (1331311112), we get a palindrome (3442442443).

The spelling of 2111131331 in words is "two billion, one hundred eleven million, one hundred thirty-one thousand, three hundred thirty-one".