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10003322131141 is a prime number
BaseRepresentation
bin1001000110010001010001…
…1101100101001011000101
31022102022022201102000000111
42101210110131211023011
52302343300431144031
633135243541513021
72051500435112653
oct221442435451305
938368281360014
1010003322131141
113207426614349
121156864412771
135774034b8cb1
14268240429dd3
151253219181b1
hex919147652c5

10003322131141 has 2 divisors, whose sum is σ = 10003322131142. Its totient is φ = 10003322131140.

The previous prime is 10003322131087. The next prime is 10003322131147. The reversal of 10003322131141 is 14113122330001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8655275740225 + 1348046390916 = 2941985^2 + 1161054^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10003322131141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003322131147) 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, 5001661065570 + 5001661065571.

It is an arithmetic number, because the mean of its divisors is an integer number (5001661065571).

Almost surely, 210003322131141 is an apocalyptic number.

It is an amenable number.

10003322131141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003322131141 is an equidigital number, since it uses as much as digits as its factorization.

10003322131141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10003322131141 its reverse (14113122330001), we get a palindrome (24116444461142).

The spelling of 10003322131141 in words is "ten trillion, three billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred forty-one".