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2211133213 is a prime number
BaseRepresentation
bin1000001111001011…
…0011011100011101
312201002122012112201
42003302303130131
514012022230323
61003224131501
7105536215342
oct20362633435
95632565481
102211133213
11a35144123
12518606b91
1329312bc63
1416d9387c9
15ce1ba8ad
hex83cb371d

2211133213 has 2 divisors, whose sum is σ = 2211133214. Its totient is φ = 2211133212.

The previous prime is 2211133201. The next prime is 2211133247. The reversal of 2211133213 is 3123311122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2177342244 + 33790969 = 46662^2 + 5813^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211133213 - 217 = 2211002141 is a prime.

It is a super-2 number, since 2×22111332132 = 9778220171263406738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211133013) 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, 1105566606 + 1105566607.

It is an arithmetic number, because the mean of its divisors is an integer number (1105566607).

Almost surely, 22211133213 is an apocalyptic number.

It is an amenable number.

2211133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211133213 is an equidigital number, since it uses as much as digits as its factorization.

2211133213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 2211133213 is about 47022.6882791701. The cubic root of 2211133213 is about 1302.7816597074.

Adding to 2211133213 its reverse (3123311122), we get a palindrome (5334444335).

It can be divided in two parts, 2211 and 133213, that added together give a square (135424 = 3682).

The spelling of 2211133213 in words is "two billion, two hundred eleven million, one hundred thirty-three thousand, two hundred thirteen".