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2002123393 is a prime number
BaseRepresentation
bin111011101010101…
…1111101010000001
312011112100101222021
41313111133222001
513100020422033
6530400241441
7100420524304
oct16725375201
95145311867
102002123393
11938167a36
1247a610281
1325ba3b9ca
1414dc8cb3b
15bab81b2d
hex7755fa81

2002123393 has 2 divisors, whose sum is σ = 2002123394. Its totient is φ = 2002123392.

The previous prime is 2002123381. The next prime is 2002123397. The reversal of 2002123393 is 3933212002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1832524864 + 169598529 = 42808^2 + 13023^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002123393 is a prime.

It is a super-3 number, since 3×20021233933 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2002123397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001061696 + 1001061697.

It is an arithmetic number, because the mean of its divisors is an integer number (1001061697).

Almost surely, 22002123393 is an apocalyptic number.

It is an amenable number.

2002123393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002123393 is an equidigital number, since it uses as much as digits as its factorization.

2002123393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 2002123393 is about 44745.0935075568. The cubic root of 2002123393 is about 1260.3667767795.

Adding to 2002123393 its reverse (3933212002), we get a palindrome (5935335395).

The spelling of 2002123393 in words is "two billion, two million, one hundred twenty-three thousand, three hundred ninety-three".