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2001110017 is a prime number
BaseRepresentation
bin111011101000110…
…1000010000000001
312011110102220212211
41313101220100001
513044241010032
6530322422121
7100406103664
oct16721502001
95143386784
102001110017
11937635635
1247a201941
1325b77568a
1414daa76db
15baa31747
hex77468401

2001110017 has 2 divisors, whose sum is σ = 2001110018. Its totient is φ = 2001110016.

The previous prime is 2001109987. The next prime is 2001110119. The reversal of 2001110017 is 7100111002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1694474896 + 306635121 = 41164^2 + 17511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001110017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001109979 and 2001110006.

It is not a weakly prime, because it can be changed into another prime (2001111017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000555008 + 1000555009.

It is an arithmetic number, because the mean of its divisors is an integer number (1000555009).

Almost surely, 22001110017 is an apocalyptic number.

It is an amenable number.

2001110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001110017 is an equidigital number, since it uses as much as digits as its factorization.

2001110017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 2001110017 is about 44733.7681958495. The cubic root of 2001110017 is about 1260.1540957501.

Adding to 2001110017 its reverse (7100111002), we get a palindrome (9101221019).

The spelling of 2001110017 in words is "two billion, one million, one hundred ten thousand, seventeen".