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1311122201 is a prime number
BaseRepresentation
bin100111000100110…
…0010001100011001
310101101002220112112
41032021202030121
510141121402301
6334033522105
744330232464
oct11611421431
93341086475
101311122201
11613104574
12307113335
1317b83056c
14c61b82db
157a18a9bb
hex4e262319

1311122201 has 2 divisors, whose sum is σ = 1311122202. Its totient is φ = 1311122200.

The previous prime is 1311122191. The next prime is 1311122207. The reversal of 1311122201 is 1022211131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1303282201 + 7840000 = 36101^2 + 2800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1311122201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1311122207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655561100 + 655561101.

It is an arithmetic number, because the mean of its divisors is an integer number (655561101).

Almost surely, 21311122201 is an apocalyptic number.

It is an amenable number.

1311122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311122201 is an equidigital number, since it uses as much as digits as its factorization.

1311122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1311122201 is about 36209.4214397303. The cubic root of 1311122201 is about 1094.4965335588.

Adding to 1311122201 its reverse (1022211131), we get a palindrome (2333333332).

The spelling of 1311122201 in words is "one billion, three hundred eleven million, one hundred twenty-two thousand, two hundred one".