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102331845073 is a prime number
BaseRepresentation
bin101111101001101110…
…1000000100111010001
3100210010200102100100001
41133103131000213101
53134033423020243
6115002142330001
710251610221433
oct1372335004721
9323120370301
10102331845073
113a442727897
12179ba889901
13985a954623
144d4aa1c653
1529ddceba4d
hex17d37409d1

102331845073 has 2 divisors, whose sum is σ = 102331845074. Its totient is φ = 102331845072.

The previous prime is 102331845071. The next prime is 102331845097. The reversal of 102331845073 is 370548133201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66723022864 + 35608822209 = 258308^2 + 188703^2 .

It is an emirp because it is prime and its reverse (370548133201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102331845073 - 21 = 102331845071 is a prime.

Together with 102331845071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102331845071) 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, 51165922536 + 51165922537.

It is an arithmetic number, because the mean of its divisors is an integer number (51165922537).

Almost surely, 2102331845073 is an apocalyptic number.

It is an amenable number.

102331845073 is a deficient number, since it is larger than the sum of its proper divisors (1).

102331845073 is an equidigital number, since it uses as much as digits as its factorization.

102331845073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 102331845073 its reverse (370548133201), we get a palindrome (472879978274).

The spelling of 102331845073 in words is "one hundred two billion, three hundred thirty-one million, eight hundred forty-five thousand, seventy-three".