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107260257217 is a prime number
BaseRepresentation
bin110001111100100110…
…1011010001111000001
3101020212011002121211011
41203321031122033001
53224132111212332
6121135155320521
710515003100111
oct1437115321701
9336764077734
10107260257217
1141541689883
12189552b0141
13a164a09a29
1452973a7041
152bcb811e47
hex18f935a3c1

107260257217 has 2 divisors, whose sum is σ = 107260257218. Its totient is φ = 107260257216.

The previous prime is 107260257151. The next prime is 107260257259. The reversal of 107260257217 is 712752062701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94209708096 + 13050549121 = 306936^2 + 114239^2 .

It is a cyclic number.

It is not a de Polignac number, because 107260257217 - 27 = 107260257089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 107260257217.

It is not a weakly prime, because it can be changed into another prime (107260257017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53630128608 + 53630128609.

It is an arithmetic number, because the mean of its divisors is an integer number (53630128609).

Almost surely, 2107260257217 is an apocalyptic number.

It is an amenable number.

107260257217 is a deficient number, since it is larger than the sum of its proper divisors (1).

107260257217 is an equidigital number, since it uses as much as digits as its factorization.

107260257217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 107260257217 in words is "one hundred seven billion, two hundred sixty million, two hundred fifty-seven thousand, two hundred seventeen".