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102004140193 is a prime number
BaseRepresentation
bin101111011111111101…
…0111010100010100001
3100202021211210012202021
41132333322322202201
53132401024441233
6114505434421441
710240520612554
oct1367772724241
9322254705667
10102004140193
113a29475030a
1217928b91881
139807aa6407
144d192b669b
1529c0168e2d
hex17bfeba8a1

102004140193 has 2 divisors, whose sum is σ = 102004140194. Its totient is φ = 102004140192.

The previous prime is 102004140169. The next prime is 102004140209. The reversal of 102004140193 is 391041400201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57949488529 + 44054651664 = 240727^2 + 209892^2 .

It is an emirp because it is prime and its reverse (391041400201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102004140193 is a prime.

It is not a weakly prime, because it can be changed into another prime (102004140893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51002070096 + 51002070097.

It is an arithmetic number, because the mean of its divisors is an integer number (51002070097).

Almost surely, 2102004140193 is an apocalyptic number.

It is an amenable number.

102004140193 is a deficient number, since it is larger than the sum of its proper divisors (1).

102004140193 is an equidigital number, since it uses as much as digits as its factorization.

102004140193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 102004140193 its reverse (391041400201), we get a palindrome (493045540394).

The spelling of 102004140193 in words is "one hundred two billion, four million, one hundred forty thousand, one hundred ninety-three".