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102202012337 is a prime number
BaseRepresentation
bin101111100101110110…
…1101111001010110001
3100202210122010011022012
41133023231233022301
53133302203343322
6114541223452305
710245442525355
oct1371355571261
9322718104265
10102202012337
113a38640a607
12179832b7095
139839a97019
144d376a3465
1529d2702ae2
hex17cbb6f2b1

102202012337 has 2 divisors, whose sum is σ = 102202012338. Its totient is φ = 102202012336.

The previous prime is 102202012333. The next prime is 102202012357. The reversal of 102202012337 is 733210202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101661496336 + 540516001 = 318844^2 + 23249^2 .

It is an emirp because it is prime and its reverse (733210202201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102202012337 - 22 = 102202012333 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202012333) 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, 51101006168 + 51101006169.

It is an arithmetic number, because the mean of its divisors is an integer number (51101006169).

Almost surely, 2102202012337 is an apocalyptic number.

It is an amenable number.

102202012337 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202012337 is an equidigital number, since it uses as much as digits as its factorization.

102202012337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 102202012337 its reverse (733210202201), we get a palindrome (835412214538).

The spelling of 102202012337 in words is "one hundred two billion, two hundred two million, twelve thousand, three hundred thirty-seven".