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2002333013 is a prime number
BaseRepresentation
bin111011101011001…
…0010110101010101
312011112202001111222
41313112102311111
513100044124023
6530404540125
7100422356402
oct16726226525
95145661458
102002333013
119382a047a
1247a6b1645
1325bab3245
1414dd052a9
15babc3cc8
hex77592d55

2002333013 has 2 divisors, whose sum is σ = 2002333014. Its totient is φ = 2002333012.

The previous prime is 2002333009. The next prime is 2002333027. The reversal of 2002333013 is 3103332002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1893381169 + 108951844 = 43513^2 + 10438^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002333013 - 22 = 2002333009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002332982 and 2002333000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002303013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001166506 + 1001166507.

It is an arithmetic number, because the mean of its divisors is an integer number (1001166507).

Almost surely, 22002333013 is an apocalyptic number.

It is an amenable number.

2002333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002333013 is an equidigital number, since it uses as much as digits as its factorization.

2002333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2002333013 is about 44747.4358259778. The cubic root of 2002333013 is about 1260.4107615583.

Adding to 2002333013 its reverse (3103332002), we get a palindrome (5105665015).

The spelling of 2002333013 in words is "two billion, two million, three hundred thirty-three thousand, thirteen".