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13640382313 is a prime number
BaseRepresentation
bin11001011010000011…
…11011011101101001
31022012121210012211221
430231001323131221
5210413414213223
610133304422041
7662010223315
oct145501733551
938177705757
1013640382313
11586a705138
122788177921
131394c6914c
14935824b45
1554c799b5d
hex32d07b769

13640382313 has 2 divisors, whose sum is σ = 13640382314. Its totient is φ = 13640382312.

The previous prime is 13640382289. The next prime is 13640382317. The reversal of 13640382313 is 31328304631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10941787609 + 2698594704 = 104603^2 + 51948^2 .

It is a cyclic number.

It is not a de Polignac number, because 13640382313 - 29 = 13640381801 is a prime.

It is not a weakly prime, because it can be changed into another prime (13640382317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6820191156 + 6820191157.

It is an arithmetic number, because the mean of its divisors is an integer number (6820191157).

Almost surely, 213640382313 is an apocalyptic number.

It is an amenable number.

13640382313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13640382313 is an equidigital number, since it uses as much as digits as its factorization.

13640382313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 13640382313 its reverse (31328304631), we get a palindrome (44968686944).

The spelling of 13640382313 in words is "thirteen billion, six hundred forty million, three hundred eighty-two thousand, three hundred thirteen".