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107178314513 is a prime number
BaseRepresentation
bin110001111010001010…
…0110100101100010001
3101020122102220111120012
41203310110310230101
53224000122031023
6121123111124305
710512656433104
oct1436424645421
9336572814505
10107178314513
11414aa401036
1218931973695
13a150a4931a
14528a55673b
152bc4527978
hex18f4534b11

107178314513 has 2 divisors, whose sum is σ = 107178314514. Its totient is φ = 107178314512.

The previous prime is 107178314449. The next prime is 107178314561. The reversal of 107178314513 is 315413871701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63467213329 + 43711101184 = 251927^2 + 209072^2 .

It is a cyclic number.

It is not a de Polignac number, because 107178314513 - 26 = 107178314449 is a prime.

It is a super-3 number, since 3×1071783145133 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (107178314413) 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, 53589157256 + 53589157257.

It is an arithmetic number, because the mean of its divisors is an integer number (53589157257).

Almost surely, 2107178314513 is an apocalyptic number.

It is an amenable number.

107178314513 is a deficient number, since it is larger than the sum of its proper divisors (1).

107178314513 is an equidigital number, since it uses as much as digits as its factorization.

107178314513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 107178314513 in words is "one hundred seven billion, one hundred seventy-eight million, three hundred fourteen thousand, five hundred thirteen".