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102678546953 is a prime number
BaseRepresentation
bin101111110100000011…
…1100100101000001001
3100211000211210121220102
41133220013210220021
53140241202000303
6115100405335145
710263320151203
oct1375007445011
9324024717812
10102678546953
113a6003aa074
1217a96a074b5
1398b4724578
144d80aab773
152a0e483288
hex17e81e4a09

102678546953 has 2 divisors, whose sum is σ = 102678546954. Its totient is φ = 102678546952.

The previous prime is 102678546913. The next prime is 102678546961. The reversal of 102678546953 is 359645876201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62256238144 + 40422308809 = 249512^2 + 201053^2 .

It is a cyclic number.

It is not a de Polignac number, because 102678546953 - 216 = 102678481417 is a prime.

It is not a weakly prime, because it can be changed into another prime (102678546913) 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, 51339273476 + 51339273477.

It is an arithmetic number, because the mean of its divisors is an integer number (51339273477).

It is a 1-persistent number, because it is pandigital, but 2⋅102678546953 = 205357093906 is not.

Almost surely, 2102678546953 is an apocalyptic number.

It is an amenable number.

102678546953 is a deficient number, since it is larger than the sum of its proper divisors (1).

102678546953 is an equidigital number, since it uses as much as digits as its factorization.

102678546953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 102678546953 in words is "one hundred two billion, six hundred seventy-eight million, five hundred forty-six thousand, nine hundred fifty-three".