Search a number
-
+
107362446641 is a prime number
BaseRepresentation
bin110001111111101001…
…1001110110100110001
3101021010021101101100122
41203333103032310301
53224334241243031
6121153245500025
710520353511342
oct1437723166461
9337107341318
10107362446641
114159433624a
1218983571615
13a17cc38c48
1452a6ba80c9
152bd579a47b
hex18ff4ced31

107362446641 has 2 divisors, whose sum is σ = 107362446642. Its totient is φ = 107362446640.

The previous prime is 107362446637. The next prime is 107362446643. The reversal of 107362446641 is 146644263701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70615090225 + 36747356416 = 265735^2 + 191696^2 .

It is a cyclic number.

It is not a de Polignac number, because 107362446641 - 22 = 107362446637 is a prime.

It is a Sophie Germain prime.

Together with 107362446643, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107362446592 and 107362446601.

It is not a weakly prime, because it can be changed into another prime (107362446643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53681223320 + 53681223321.

It is an arithmetic number, because the mean of its divisors is an integer number (53681223321).

Almost surely, 2107362446641 is an apocalyptic number.

It is an amenable number.

107362446641 is a deficient number, since it is larger than the sum of its proper divisors (1).

107362446641 is an equidigital number, since it uses as much as digits as its factorization.

107362446641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 107362446641 in words is "one hundred seven billion, three hundred sixty-two million, four hundred forty-six thousand, six hundred forty-one".