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2001001013 = 111496611847
BaseRepresentation
bin111011101000100…
…1101101000110101
312011110020101100122
41313101031220311
513044224013023
6530320221325
7100405141124
oct16721155065
95143211318
102001001013
11937570750
1247a16a845
1325b737b8b
1414da79abb
15baa0e2c8
hex7744da35

2001001013 has 16 divisors (see below), whose sum is σ = 2202076800. Its totient is φ = 1803172800.

The previous prime is 2001001003. The next prime is 2001001019. The reversal of 2001001013 is 3101001002.

It is not a de Polignac number, because 2001001013 - 210 = 2000999989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082456 + ... + 1084302.

It is an arithmetic number, because the mean of its divisors is an integer number (137629800).

Almost surely, 22001001013 is an apocalyptic number.

It is an amenable number.

2001001013 is a deficient number, since it is larger than the sum of its proper divisors (201075787).

2001001013 is a wasteful number, since it uses less digits than its factorization.

2001001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2001001013 is about 44732.5498155426. The cubic root of 2001001013 is about 1260.1312143942.

Adding to 2001001013 its reverse (3101001002), we get a palindrome (5102002015).

The spelling of 2001001013 in words is "two billion, one million, one thousand, thirteen".

Divisors: 1 11 149 661 1639 1847 7271 20317 98489 275203 1083379 1220867 3027233 13429537 181909183 2001001013