Search a number
-
+
107244368677 is a prime number
BaseRepresentation
bin110001111100001000…
…0110011001100100101
3101020211001012101211201
41203320100303030211
53224114024244202
6121133431002501
710514421043615
oct1437020631445
9336731171751
10107244368677
1141533717556
121894bb09431
13a161635b24
14529522ca45
152bca224387
hex18f8433325

107244368677 has 2 divisors, whose sum is σ = 107244368678. Its totient is φ = 107244368676.

The previous prime is 107244368611. The next prime is 107244368767. The reversal of 107244368677 is 776863442701.

It is a happy number.

Together with next prime (107244368767) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105619150081 + 1625218596 = 324991^2 + 40314^2 .

It is an emirp because it is prime and its reverse (776863442701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107244368677 - 215 = 107244335909 is a prime.

It is a super-2 number, since 2×1072443686772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107244368977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53622184338 + 53622184339.

It is an arithmetic number, because the mean of its divisors is an integer number (53622184339).

Almost surely, 2107244368677 is an apocalyptic number.

It is an amenable number.

107244368677 is a deficient number, since it is larger than the sum of its proper divisors (1).

107244368677 is an equidigital number, since it uses as much as digits as its factorization.

107244368677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9483264, while the sum is 55.

The spelling of 107244368677 in words is "one hundred seven billion, two hundred forty-four million, three hundred sixty-eight thousand, six hundred seventy-seven".