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211133003321 is a prime number
BaseRepresentation
bin1100010010100010000…
…0011111011000111001
3202011222012222211222202
43010220200133120321
511424400022101241
6240554304555545
721153033626432
oct3045040373071
9664865884882
10211133003321
11815a5092399
1234b04022bb5
1316ba99742c6
14a30c8d4489
15575aa36d9b
hex312881f639

211133003321 has 2 divisors, whose sum is σ = 211133003322. Its totient is φ = 211133003320.

The previous prime is 211133003309. The next prime is 211133003351. The reversal of 211133003321 is 123300331112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199482823225 + 11650180096 = 446635^2 + 107936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211133003321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211133003293 and 211133003302.

It is not a weakly prime, because it can be changed into another prime (211133003351) 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, 105566501660 + 105566501661.

It is an arithmetic number, because the mean of its divisors is an integer number (105566501661).

Almost surely, 2211133003321 is an apocalyptic number.

It is an amenable number.

211133003321 is a deficient number, since it is larger than the sum of its proper divisors (1).

211133003321 is an equidigital number, since it uses as much as digits as its factorization.

211133003321 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 20.

Adding to 211133003321 its reverse (123300331112), we get a palindrome (334433334433).

The spelling of 211133003321 in words is "two hundred eleven billion, one hundred thirty-three million, three thousand, three hundred twenty-one".