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1303213361 is a prime number
BaseRepresentation
bin100110110101101…
…0111010100110001
310100211020002122112
41031223113110301
510132110311421
6333152215105
744203062602
oct11553272461
93324202575
101303213361
116096a253a
1230453a495
13179cc1788
14c5119da9
157962745b
hex4dad7531

1303213361 has 2 divisors, whose sum is σ = 1303213362. Its totient is φ = 1303213360.

The previous prime is 1303213291. The next prime is 1303213367. The reversal of 1303213361 is 1633123031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 767013025 + 536200336 = 27695^2 + 23156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1303213361 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303213367) 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, 651606680 + 651606681.

It is an arithmetic number, because the mean of its divisors is an integer number (651606681).

Almost surely, 21303213361 is an apocalyptic number.

It is an amenable number.

1303213361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303213361 is an equidigital number, since it uses as much as digits as its factorization.

1303213361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 1303213361 is about 36100.0465512165. The cubic root of 1303213361 is about 1092.2913840104.

Adding to 1303213361 its reverse (1633123031), we get a palindrome (2936336392).

The spelling of 1303213361 in words is "one billion, three hundred three million, two hundred thirteen thousand, three hundred sixty-one".