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2002141007393 is a prime number
BaseRepresentation
bin11101001000101000111…
…001110100111000100001
321002101212122112021222012
4131020220321310320201
5230300341044214033
64131434302122305
7264435630524102
oct35105071647041
97071778467865
102002141007393
1170211544838a
12284040b80395
13116a54cac457
146cc92d723a9
1537130e45248
hex1d228e74e21

2002141007393 has 2 divisors, whose sum is σ = 2002141007394. Its totient is φ = 2002141007392.

The previous prime is 2002141007389. The next prime is 2002141007431. The reversal of 2002141007393 is 3937001412002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1936416968704 + 65724038689 = 1391552^2 + 256367^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002141007393 - 22 = 2002141007389 is a prime.

It is a super-2 number, since 2×20021410073932 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002141007303) 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, 1001070503696 + 1001070503697.

It is an arithmetic number, because the mean of its divisors is an integer number (1001070503697).

Almost surely, 22002141007393 is an apocalyptic number.

It is an amenable number.

2002141007393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002141007393 is an equidigital number, since it uses as much as digits as its factorization.

2002141007393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 2002141007393 its reverse (3937001412002), we get a palindrome (5939142419395).

The spelling of 2002141007393 in words is "two trillion, two billion, one hundred forty-one million, seven thousand, three hundred ninety-three".