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13146426261317 is a prime number
BaseRepresentation
bin1011111101001110010000…
…0100010011111101000101
31201112210020001100022022002
42333103210010103331011
53210342340110330232
643543215043315045
72524540461315416
oct277234404237505
951483201308262
1013146426261317
1142094059970a8
121583a4767ba85
13744919a20aab
1433640cd0180d
1517be7e640b62
hexbf4e4113f45

13146426261317 has 2 divisors, whose sum is σ = 13146426261318. Its totient is φ = 13146426261316.

The previous prime is 13146426261313. The next prime is 13146426261329. The reversal of 13146426261317 is 71316262464131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8946984304801 + 4199441956516 = 2991151^2 + 2049254^2 .

It is a cyclic number.

It is not a de Polignac number, because 13146426261317 - 22 = 13146426261313 is a prime.

It is a super-4 number, since 4×131464262613174 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13146426261313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6573213130658 + 6573213130659.

It is an arithmetic number, because the mean of its divisors is an integer number (6573213130659).

Almost surely, 213146426261317 is an apocalyptic number.

It is an amenable number.

13146426261317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13146426261317 is an equidigital number, since it uses as much as digits as its factorization.

13146426261317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 47.

The spelling of 13146426261317 in words is "thirteen trillion, one hundred forty-six billion, four hundred twenty-six million, two hundred sixty-one thousand, three hundred seventeen".