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13007070361 is a prime number
BaseRepresentation
bin11000001110100100…
…00010010010011001
31020120111002122011201
430013102002102121
5203114302222421
65550402354201
7640220162635
oct140722022231
936514078151
1013007070361
11557517452a
12263005b961
1312c39a8c4c
148b5689dc5
15511d9bb91
hex307482499

13007070361 has 2 divisors, whose sum is σ = 13007070362. Its totient is φ = 13007070360.

The previous prime is 13007070359. The next prime is 13007070367. The reversal of 13007070361 is 16307070031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12615782400 + 391287961 = 112320^2 + 19781^2 .

It is a cyclic number.

It is not a de Polignac number, because 13007070361 - 21 = 13007070359 is a prime.

Together with 13007070359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13007070367) 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, 6503535180 + 6503535181.

It is an arithmetic number, because the mean of its divisors is an integer number (6503535181).

Almost surely, 213007070361 is an apocalyptic number.

It is an amenable number.

13007070361 is a deficient number, since it is larger than the sum of its proper divisors (1).

13007070361 is an equidigital number, since it uses as much as digits as its factorization.

13007070361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The spelling of 13007070361 in words is "thirteen billion, seven million, seventy thousand, three hundred sixty-one".