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2211130311133 is a prime number
BaseRepresentation
bin100000001011010001101…
…000110000000111011101
321211101022110202220222011
4200023101220300013131
5242211343324424013
64411440152151221
7315514604352532
oct40132150600735
97741273686864
102211130311133
1178280a464527
122b8647098511
1313067c7a5163
147903ac82d89
153c7b3681c3d
hex202d1a301dd

2211130311133 has 2 divisors, whose sum is σ = 2211130311134. Its totient is φ = 2211130311132.

The previous prime is 2211130311121. The next prime is 2211130311191. The reversal of 2211130311133 is 3311130311122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2178688177444 + 32442133689 = 1476038^2 + 180117^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211130311133 - 229 = 2210593440221 is a prime.

It is a super-2 number, since 2×22111303111332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211130311193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105565155566 + 1105565155567.

It is an arithmetic number, because the mean of its divisors is an integer number (1105565155567).

Almost surely, 22211130311133 is an apocalyptic number.

It is an amenable number.

2211130311133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211130311133 is an equidigital number, since it uses as much as digits as its factorization.

2211130311133 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2211130311133 its reverse (3311130311122), we get a palindrome (5522260622255).

The spelling of 2211130311133 in words is "two trillion, two hundred eleven billion, one hundred thirty million, three hundred eleven thousand, one hundred thirty-three".