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247443713131361 is a prime number
BaseRepresentation
bin111000010000110001111010…
…100111111000001101100001
31012110010101110211001120102012
4320100301322213320031201
5224413104211030200421
62234134023355402305
7103056134612131325
oct7020617247701541
91173111424046365
10247443713131361
11719303202446aa
12239042baa53395
13a80bac3c133a6
1445164a7ca3985
151d918a384795b
hexe10c7a9f8361

247443713131361 has 2 divisors, whose sum is σ = 247443713131362. Its totient is φ = 247443713131360.

The previous prime is 247443713131339. The next prime is 247443713131409. The reversal of 247443713131361 is 163131317344742.

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., 177008230149136 + 70435482982225 = 13304444^2 + 8392585^2 .

It is a cyclic number.

It is not a de Polignac number, because 247443713131361 - 26 = 247443713131297 is a prime.

It is a super-2 number, since 2×2474437131313612 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (247443713131061) 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, 123721856565680 + 123721856565681.

It is an arithmetic number, because the mean of its divisors is an integer number (123721856565681).

Almost surely, 2247443713131361 is an apocalyptic number.

It is an amenable number.

247443713131361 is a deficient number, since it is larger than the sum of its proper divisors (1).

247443713131361 is an equidigital number, since it uses as much as digits as its factorization.

247443713131361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3048192, while the sum is 50.

The spelling of 247443713131361 in words is "two hundred forty-seven trillion, four hundred forty-three billion, seven hundred thirteen million, one hundred thirty-one thousand, three hundred sixty-one".