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2133012221 is a prime number
BaseRepresentation
bin111111100100011…
…0010111011111101
312111122122020200122
41333020302323331
513332022342341
6551353504325
7103600206344
oct17710627375
95448566618
102133012221
119a503671a
124b64120a5
1327cba8c12
14163400b5b
15c73d894b
hex7f232efd

2133012221 has 2 divisors, whose sum is σ = 2133012222. Its totient is φ = 2133012220.

The previous prime is 2133012209. The next prime is 2133012229. The reversal of 2133012221 is 1222103312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1959036121 + 173976100 = 44261^2 + 13190^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133012221 - 222 = 2128817917 is a prime.

It is a super-2 number, since 2×21330122212 = 9099482269870705682, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2133012221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133012229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066506110 + 1066506111.

It is an arithmetic number, because the mean of its divisors is an integer number (1066506111).

Almost surely, 22133012221 is an apocalyptic number.

It is an amenable number.

2133012221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133012221 is an equidigital number, since it uses as much as digits as its factorization.

2133012221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2133012221 is about 46184.5452613750. The cubic root of 2133012221 is about 1287.2545865355.

Adding to 2133012221 its reverse (1222103312), we get a palindrome (3355115533).

The spelling of 2133012221 in words is "two billion, one hundred thirty-three million, twelve thousand, two hundred twenty-one".